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Finding the Third Proportional to 84,772 and 129,438

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Solution

The third proportional to 84,772 and 129,438 is: 197,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,772 : 129,438 = 129,438 : x
  2. Step 2: Convert to fraction form
    84,772/129,438 = 129,438/x
  3. Step 3: Cross multiply
    84,772x = 129,438 × 129,438
  4. Step 4: Simplify right side
    84,772x = 16,754,195,844
  5. Step 5: Solve for x
    x = 16,754,195,844/84,772
  6. Step 6: Final answer
    x = 197,638.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.