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Finding the Third Proportional to 62,359 and 95,096

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Solution

The third proportional to 62,359 and 95,096 is: 145,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,359 : 95,096 = 95,096 : x
  2. Step 2: Convert to fraction form
    62,359/95,096 = 95,096/x
  3. Step 3: Cross multiply
    62,359x = 95,096 × 95,096
  4. Step 4: Simplify right side
    62,359x = 9,043,249,216
  5. Step 5: Solve for x
    x = 9,043,249,216/62,359
  6. Step 6: Final answer
    x = 145,019.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.