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Finding the Third Proportional to 67,564.13 and 94,780.13

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Solution

The third proportional to 67,564.13 and 94,780.13 is: 132,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,564.13 : 94,780.13 = 94,780.13 : x
  2. Step 2: Convert to fraction form
    67,564.13/94,780.13 = 94,780.13/x
  3. Step 3: Cross multiply
    67,564.13x = 94,780.13 × 94,780.13
  4. Step 4: Simplify right side
    67,564.13x = 8,983,272,095.02
  5. Step 5: Solve for x
    x = 8,983,272,095.02/67,564.13
  6. Step 6: Final answer
    x = 132,959.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.