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Finding the Third Proportional to 42,524 and 93,127

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Solution

The third proportional to 42,524 and 93,127 is: 203,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,524 : 93,127 = 93,127 : x
  2. Step 2: Convert to fraction form
    42,524/93,127 = 93,127/x
  3. Step 3: Cross multiply
    42,524x = 93,127 × 93,127
  4. Step 4: Simplify right side
    42,524x = 8,672,638,129
  5. Step 5: Solve for x
    x = 8,672,638,129/42,524
  6. Step 6: Final answer
    x = 203,946.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.