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Finding the Third Proportional to 42,468 and 59,361

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Solution

The third proportional to 42,468 and 59,361 is: 82,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468 : 59,361 = 59,361 : x
  2. Step 2: Convert to fraction form
    42,468/59,361 = 59,361/x
  3. Step 3: Cross multiply
    42,468x = 59,361 × 59,361
  4. Step 4: Simplify right side
    42,468x = 3,523,728,321
  5. Step 5: Solve for x
    x = 3,523,728,321/42,468
  6. Step 6: Final answer
    x = 82,973.73

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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.