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Finding the Third Proportional to 60,180 and 93,602

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Solution

The third proportional to 60,180 and 93,602 is: 145,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,180 : 93,602 = 93,602 : x
  2. Step 2: Convert to fraction form
    60,180/93,602 = 93,602/x
  3. Step 3: Cross multiply
    60,180x = 93,602 × 93,602
  4. Step 4: Simplify right side
    60,180x = 8,761,334,404
  5. Step 5: Solve for x
    x = 8,761,334,404/60,180
  6. Step 6: Final answer
    x = 145,585.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.