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Finding the Third Proportional to 84,928.50 and 173,547

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Solution

The third proportional to 84,928.50 and 173,547 is: 354,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928.50 : 173,547 = 173,547 : x
  2. Step 2: Convert to fraction form
    84,928.50/173,547 = 173,547/x
  3. Step 3: Cross multiply
    84,928.50x = 173,547 × 173,547
  4. Step 4: Simplify right side
    84,928.50x = 30,118,561,209
  5. Step 5: Solve for x
    x = 30,118,561,209/84,928.50
  6. Step 6: Final answer
    x = 354,634.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.