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Finding the Third Proportional to 62,648 and 93,952

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Solution

The third proportional to 62,648 and 93,952 is: 140,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,648 : 93,952 = 93,952 : x
  2. Step 2: Convert to fraction form
    62,648/93,952 = 93,952/x
  3. Step 3: Cross multiply
    62,648x = 93,952 × 93,952
  4. Step 4: Simplify right side
    62,648x = 8,826,978,304
  5. Step 5: Solve for x
    x = 8,826,978,304/62,648
  6. Step 6: Final answer
    x = 140,898.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.