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Finding the Third Proportional to 59,516.75 and 92,231.75

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Solution

The third proportional to 59,516.75 and 92,231.75 is: 142,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,516.75 : 92,231.75 = 92,231.75 : x
  2. Step 2: Convert to fraction form
    59,516.75/92,231.75 = 92,231.75/x
  3. Step 3: Cross multiply
    59,516.75x = 92,231.75 × 92,231.75
  4. Step 4: Simplify right side
    59,516.75x = 8,506,695,708.06
  5. Step 5: Solve for x
    x = 8,506,695,708.06/59,516.75
  6. Step 6: Final answer
    x = 142,929.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.