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Finding the Third Proportional to 56,965.13 and 124,657.50

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Solution

The third proportional to 56,965.13 and 124,657.50 is: 272,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,965.13 : 124,657.50 = 124,657.50 : x
  2. Step 2: Convert to fraction form
    56,965.13/124,657.50 = 124,657.50/x
  3. Step 3: Cross multiply
    56,965.13x = 124,657.50 × 124,657.50
  4. Step 4: Simplify right side
    56,965.13x = 15,539,492,306.25
  5. Step 5: Solve for x
    x = 15,539,492,306.25/56,965.13
  6. Step 6: Final answer
    x = 272,789.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.