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Finding the Third Proportional to 71,572 and 97,202

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Solution

The third proportional to 71,572 and 97,202 is: 132,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572 : 97,202 = 97,202 : x
  2. Step 2: Convert to fraction form
    71,572/97,202 = 97,202/x
  3. Step 3: Cross multiply
    71,572x = 97,202 × 97,202
  4. Step 4: Simplify right side
    71,572x = 9,448,228,804
  5. Step 5: Solve for x
    x = 9,448,228,804/71,572
  6. Step 6: Final answer
    x = 132,010.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.