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Finding the Third Proportional to 42,250 and 59,072

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Solution

The third proportional to 42,250 and 59,072 is: 82,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,250 : 59,072 = 59,072 : x
  2. Step 2: Convert to fraction form
    42,250/59,072 = 59,072/x
  3. Step 3: Cross multiply
    42,250x = 59,072 × 59,072
  4. Step 4: Simplify right side
    42,250x = 3,489,501,184
  5. Step 5: Solve for x
    x = 3,489,501,184/42,250
  6. Step 6: Final answer
    x = 82,591.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.