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Finding the Third Proportional to 60,237 and 129,633.75

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Solution

The third proportional to 60,237 and 129,633.75 is: 278,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,237 : 129,633.75 = 129,633.75 : x
  2. Step 2: Convert to fraction form
    60,237/129,633.75 = 129,633.75/x
  3. Step 3: Cross multiply
    60,237x = 129,633.75 × 129,633.75
  4. Step 4: Simplify right side
    60,237x = 16,804,909,139.06
  5. Step 5: Solve for x
    x = 16,804,909,139.06/60,237
  6. Step 6: Final answer
    x = 278,979.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.