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Finding the Third Proportional to 87,586.31 and 124,815.94

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Solution

The third proportional to 87,586.31 and 124,815.94 is: 177,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,586.31 : 124,815.94 = 124,815.94 : x
  2. Step 2: Convert to fraction form
    87,586.31/124,815.94 = 124,815.94/x
  3. Step 3: Cross multiply
    87,586.31x = 124,815.94 × 124,815.94
  4. Step 4: Simplify right side
    87,586.31x = 15,579,018,254.00
  5. Step 5: Solve for x
    x = 15,579,018,254.00/87,586.31
  6. Step 6: Final answer
    x = 177,870.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.