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Finding the Third Proportional to 60,033 and 129,376.50

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Solution

The third proportional to 60,033 and 129,376.50 is: 278,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,033 : 129,376.50 = 129,376.50 : x
  2. Step 2: Convert to fraction form
    60,033/129,376.50 = 129,376.50/x
  3. Step 3: Cross multiply
    60,033x = 129,376.50 × 129,376.50
  4. Step 4: Simplify right side
    60,033x = 16,738,278,752.25
  5. Step 5: Solve for x
    x = 16,738,278,752.25/60,033
  6. Step 6: Final answer
    x = 278,817.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.