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Finding the Third Proportional to 72,427 and 97,462

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Solution

The third proportional to 72,427 and 97,462 is: 131,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,427 : 97,462 = 97,462 : x
  2. Step 2: Convert to fraction form
    72,427/97,462 = 97,462/x
  3. Step 3: Cross multiply
    72,427x = 97,462 × 97,462
  4. Step 4: Simplify right side
    72,427x = 9,498,841,444
  5. Step 5: Solve for x
    x = 9,498,841,444/72,427
  6. Step 6: Final answer
    x = 131,150.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.