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Finding the Third Proportional to 53,543.25 and 75,211.88

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Solution

The third proportional to 53,543.25 and 75,211.88 is: 105,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,543.25 : 75,211.88 = 75,211.88 : x
  2. Step 2: Convert to fraction form
    53,543.25/75,211.88 = 75,211.88/x
  3. Step 3: Cross multiply
    53,543.25x = 75,211.88 × 75,211.88
  4. Step 4: Simplify right side
    53,543.25x = 5,656,826,141.02
  5. Step 5: Solve for x
    x = 5,656,826,141.02/53,543.25
  6. Step 6: Final answer
    x = 105,649.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.