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Finding the Third Proportional to 58,512.38 and 85,685.75

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Solution

The third proportional to 58,512.38 and 85,685.75 is: 125,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,512.38 : 85,685.75 = 85,685.75 : x
  2. Step 2: Convert to fraction form
    58,512.38/85,685.75 = 85,685.75/x
  3. Step 3: Cross multiply
    58,512.38x = 85,685.75 × 85,685.75
  4. Step 4: Simplify right side
    58,512.38x = 7,342,047,753.06
  5. Step 5: Solve for x
    x = 7,342,047,753.06/58,512.38
  6. Step 6: Final answer
    x = 125,478.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.