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Finding the Third Proportional to 64,729.13 and 93,570.19

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Solution

The third proportional to 64,729.13 and 93,570.19 is: 135,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729.13 : 93,570.19 = 93,570.19 : x
  2. Step 2: Convert to fraction form
    64,729.13/93,570.19 = 93,570.19/x
  3. Step 3: Cross multiply
    64,729.13x = 93,570.19 × 93,570.19
  4. Step 4: Simplify right side
    64,729.13x = 8,755,379,988.79
  5. Step 5: Solve for x
    x = 8,755,379,988.79/64,729.13
  6. Step 6: Final answer
    x = 135,261.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.