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Finding the Third Proportional to 58,311 and 87,877.69

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Solution

The third proportional to 58,311 and 87,877.69 is: 132,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,311 : 87,877.69 = 87,877.69 : x
  2. Step 2: Convert to fraction form
    58,311/87,877.69 = 87,877.69/x
  3. Step 3: Cross multiply
    58,311x = 87,877.69 × 87,877.69
  4. Step 4: Simplify right side
    58,311x = 7,722,487,960.35
  5. Step 5: Solve for x
    x = 7,722,487,960.35/58,311
  6. Step 6: Final answer
    x = 132,436.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.