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Finding the Third Proportional to 64,592 and 96,952

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Solution

The third proportional to 64,592 and 96,952 is: 145,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,592 : 96,952 = 96,952 : x
  2. Step 2: Convert to fraction form
    64,592/96,952 = 96,952/x
  3. Step 3: Cross multiply
    64,592x = 96,952 × 96,952
  4. Step 4: Simplify right side
    64,592x = 9,399,690,304
  5. Step 5: Solve for x
    x = 9,399,690,304/64,592
  6. Step 6: Final answer
    x = 145,524.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.