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Finding the Third Proportional to 107,032.48 and 235,251.53

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Solution

The third proportional to 107,032.48 and 235,251.53 is: 517,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,032.48 : 235,251.53 = 235,251.53 : x
  2. Step 2: Convert to fraction form
    107,032.48/235,251.53 = 235,251.53/x
  3. Step 3: Cross multiply
    107,032.48x = 235,251.53 × 235,251.53
  4. Step 4: Simplify right side
    107,032.48x = 55,343,281,117.57
  5. Step 5: Solve for x
    x = 55,343,281,117.57/107,032.48
  6. Step 6: Final answer
    x = 517,069.96

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