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Finding the Third Proportional to 42,406 and 88,314

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Solution

The third proportional to 42,406 and 88,314 is: 183,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406 : 88,314 = 88,314 : x
  2. Step 2: Convert to fraction form
    42,406/88,314 = 88,314/x
  3. Step 3: Cross multiply
    42,406x = 88,314 × 88,314
  4. Step 4: Simplify right side
    42,406x = 7,799,362,596
  5. Step 5: Solve for x
    x = 7,799,362,596/42,406
  6. Step 6: Final answer
    x = 183,921.20

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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.