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Finding the Third Proportional to 52,543.69 and 68,971.50

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Solution

The third proportional to 52,543.69 and 68,971.50 is: 90,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,543.69 : 68,971.50 = 68,971.50 : x
  2. Step 2: Convert to fraction form
    52,543.69/68,971.50 = 68,971.50/x
  3. Step 3: Cross multiply
    52,543.69x = 68,971.50 × 68,971.50
  4. Step 4: Simplify right side
    52,543.69x = 4,757,067,812.25
  5. Step 5: Solve for x
    x = 4,757,067,812.25/52,543.69
  6. Step 6: Final answer
    x = 90,535.48

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.