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Finding the Third Proportional to 60,594 and 87,813

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Solution

The third proportional to 60,594 and 87,813 is: 127,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,594 : 87,813 = 87,813 : x
  2. Step 2: Convert to fraction form
    60,594/87,813 = 87,813/x
  3. Step 3: Cross multiply
    60,594x = 87,813 × 87,813
  4. Step 4: Simplify right side
    60,594x = 7,711,122,969
  5. Step 5: Solve for x
    x = 7,711,122,969/60,594
  6. Step 6: Final answer
    x = 127,258.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.