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Finding the Third Proportional to 64,497 and 97,719

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Solution

The third proportional to 64,497 and 97,719 is: 148,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,497 : 97,719 = 97,719 : x
  2. Step 2: Convert to fraction form
    64,497/97,719 = 97,719/x
  3. Step 3: Cross multiply
    64,497x = 97,719 × 97,719
  4. Step 4: Simplify right side
    64,497x = 9,549,002,961
  5. Step 5: Solve for x
    x = 9,549,002,961/64,497
  6. Step 6: Final answer
    x = 148,053.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.