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Finding the Third Proportional to 64,742 and 97,708

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Solution

The third proportional to 64,742 and 97,708 is: 147,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742 : 97,708 = 97,708 : x
  2. Step 2: Convert to fraction form
    64,742/97,708 = 97,708/x
  3. Step 3: Cross multiply
    64,742x = 97,708 × 97,708
  4. Step 4: Simplify right side
    64,742x = 9,546,853,264
  5. Step 5: Solve for x
    x = 9,546,853,264/64,742
  6. Step 6: Final answer
    x = 147,459.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.