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Finding the Third Proportional to 112,120 and 173,784

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Solution

The third proportional to 112,120 and 173,784 is: 269,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,120 : 173,784 = 173,784 : x
  2. Step 2: Convert to fraction form
    112,120/173,784 = 173,784/x
  3. Step 3: Cross multiply
    112,120x = 173,784 × 173,784
  4. Step 4: Simplify right side
    112,120x = 30,200,878,656
  5. Step 5: Solve for x
    x = 30,200,878,656/112,120
  6. Step 6: Final answer
    x = 269,362.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.