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Finding the Third Proportional to 65,762 and 101,712

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Solution

The third proportional to 65,762 and 101,712 is: 157,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,762 : 101,712 = 101,712 : x
  2. Step 2: Convert to fraction form
    65,762/101,712 = 101,712/x
  3. Step 3: Cross multiply
    65,762x = 101,712 × 101,712
  4. Step 4: Simplify right side
    65,762x = 10,345,330,944
  5. Step 5: Solve for x
    x = 10,345,330,944/65,762
  6. Step 6: Final answer
    x = 157,314.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.