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Finding the Third Proportional to 120,052.13 and 173,880.84

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Solution

The third proportional to 120,052.13 and 173,880.84 is: 251,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,052.13 : 173,880.84 = 173,880.84 : x
  2. Step 2: Convert to fraction form
    120,052.13/173,880.84 = 173,880.84/x
  3. Step 3: Cross multiply
    120,052.13x = 173,880.84 × 173,880.84
  4. Step 4: Simplify right side
    120,052.13x = 30,234,547,823.21
  5. Step 5: Solve for x
    x = 30,234,547,823.21/120,052.13
  6. Step 6: Final answer
    x = 251,845.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.