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Finding the Third Proportional to 53,599.13 and 78,793.88

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Solution

The third proportional to 53,599.13 and 78,793.88 is: 115,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,599.13 : 78,793.88 = 78,793.88 : x
  2. Step 2: Convert to fraction form
    53,599.13/78,793.88 = 78,793.88/x
  3. Step 3: Cross multiply
    53,599.13x = 78,793.88 × 78,793.88
  4. Step 4: Simplify right side
    53,599.13x = 6,208,474,737.52
  5. Step 5: Solve for x
    x = 6,208,474,737.52/53,599.13
  6. Step 6: Final answer
    x = 115,831.64

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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.