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Finding the Third Proportional to 59,014.83 and 125,957.53

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Solution

The third proportional to 59,014.83 and 125,957.53 is: 268,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,014.83 : 125,957.53 = 125,957.53 : x
  2. Step 2: Convert to fraction form
    59,014.83/125,957.53 = 125,957.53/x
  3. Step 3: Cross multiply
    59,014.83x = 125,957.53 × 125,957.53
  4. Step 4: Simplify right side
    59,014.83x = 15,865,299,678.59
  5. Step 5: Solve for x
    x = 15,865,299,678.59/59,014.83
  6. Step 6: Final answer
    x = 268,835.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.