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Finding the Third Proportional to 71,060 and 118,428

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Solution

The third proportional to 71,060 and 118,428 is: 197,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,060 : 118,428 = 118,428 : x
  2. Step 2: Convert to fraction form
    71,060/118,428 = 118,428/x
  3. Step 3: Cross multiply
    71,060x = 118,428 × 118,428
  4. Step 4: Simplify right side
    71,060x = 14,025,191,184
  5. Step 5: Solve for x
    x = 14,025,191,184/71,060
  6. Step 6: Final answer
    x = 197,371.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.