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Finding the Third Proportional to 65,760 and 101,712

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Solution

The third proportional to 65,760 and 101,712 is: 157,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,760 : 101,712 = 101,712 : x
  2. Step 2: Convert to fraction form
    65,760/101,712 = 101,712/x
  3. Step 3: Cross multiply
    65,760x = 101,712 × 101,712
  4. Step 4: Simplify right side
    65,760x = 10,345,330,944
  5. Step 5: Solve for x
    x = 10,345,330,944/65,760
  6. Step 6: Final answer
    x = 157,319.51

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Why These Related Problems?

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