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Finding the Third Proportional to 42,387 and 88,270

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Solution

The third proportional to 42,387 and 88,270 is: 183,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,387 : 88,270 = 88,270 : x
  2. Step 2: Convert to fraction form
    42,387/88,270 = 88,270/x
  3. Step 3: Cross multiply
    42,387x = 88,270 × 88,270
  4. Step 4: Simplify right side
    42,387x = 7,791,592,900
  5. Step 5: Solve for x
    x = 7,791,592,900/42,387
  6. Step 6: Final answer
    x = 183,820.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.