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Finding the Third Proportional to 89,812.50 and 124,877

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Solution

The third proportional to 89,812.50 and 124,877 is: 173,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,812.50 : 124,877 = 124,877 : x
  2. Step 2: Convert to fraction form
    89,812.50/124,877 = 124,877/x
  3. Step 3: Cross multiply
    89,812.50x = 124,877 × 124,877
  4. Step 4: Simplify right side
    89,812.50x = 15,594,265,129
  5. Step 5: Solve for x
    x = 15,594,265,129/89,812.50
  6. Step 6: Final answer
    x = 173,631.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.