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Finding the Third Proportional to 52,062.75 and 114,069.52

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Solution

The third proportional to 52,062.75 and 114,069.52 is: 249,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.75 : 114,069.52 = 114,069.52 : x
  2. Step 2: Convert to fraction form
    52,062.75/114,069.52 = 114,069.52/x
  3. Step 3: Cross multiply
    52,062.75x = 114,069.52 × 114,069.52
  4. Step 4: Simplify right side
    52,062.75x = 13,011,854,394.92
  5. Step 5: Solve for x
    x = 13,011,854,394.92/52,062.75
  6. Step 6: Final answer
    x = 249,926.38

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