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Finding the Third Proportional to 42,018 and 89,598

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Solution

The third proportional to 42,018 and 89,598 is: 191,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,018 : 89,598 = 89,598 : x
  2. Step 2: Convert to fraction form
    42,018/89,598 = 89,598/x
  3. Step 3: Cross multiply
    42,018x = 89,598 × 89,598
  4. Step 4: Simplify right side
    42,018x = 8,027,801,604
  5. Step 5: Solve for x
    x = 8,027,801,604/42,018
  6. Step 6: Final answer
    x = 191,056.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.