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Finding the Third Proportional to 64,107.84 and 94,077.42

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Solution

The third proportional to 64,107.84 and 94,077.42 is: 138,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,107.84 : 94,077.42 = 94,077.42 : x
  2. Step 2: Convert to fraction form
    64,107.84/94,077.42 = 94,077.42/x
  3. Step 3: Cross multiply
    64,107.84x = 94,077.42 × 94,077.42
  4. Step 4: Simplify right side
    64,107.84x = 8,850,561,306.65
  5. Step 5: Solve for x
    x = 8,850,561,306.65/64,107.84
  6. Step 6: Final answer
    x = 138,057.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.