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Finding the Third Proportional to 59,213.53 and 85,710.66

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Solution

The third proportional to 59,213.53 and 85,710.66 is: 124,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,213.53 : 85,710.66 = 85,710.66 : x
  2. Step 2: Convert to fraction form
    59,213.53/85,710.66 = 85,710.66/x
  3. Step 3: Cross multiply
    59,213.53x = 85,710.66 × 85,710.66
  4. Step 4: Simplify right side
    59,213.53x = 7,346,316,594.81
  5. Step 5: Solve for x
    x = 7,346,316,594.81/59,213.53
  6. Step 6: Final answer
    x = 124,064.83

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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.