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Finding the Third Proportional to 42,290 and 59,125

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Solution

The third proportional to 42,290 and 59,125 is: 82,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,290 : 59,125 = 59,125 : x
  2. Step 2: Convert to fraction form
    42,290/59,125 = 59,125/x
  3. Step 3: Cross multiply
    42,290x = 59,125 × 59,125
  4. Step 4: Simplify right side
    42,290x = 3,495,765,625
  5. Step 5: Solve for x
    x = 3,495,765,625/42,290
  6. Step 6: Final answer
    x = 82,661.76

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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.