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Finding the Third Proportional to 57,653 and 126,656.50

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Solution

The third proportional to 57,653 and 126,656.50 is: 278,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,653 : 126,656.50 = 126,656.50 : x
  2. Step 2: Convert to fraction form
    57,653/126,656.50 = 126,656.50/x
  3. Step 3: Cross multiply
    57,653x = 126,656.50 × 126,656.50
  4. Step 4: Simplify right side
    57,653x = 16,041,868,992.25
  5. Step 5: Solve for x
    x = 16,041,868,992.25/57,653
  6. Step 6: Final answer
    x = 278,248.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.