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Finding the Third Proportional to 99,040 and 148,584

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Solution

The third proportional to 99,040 and 148,584 is: 222,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,040 : 148,584 = 148,584 : x
  2. Step 2: Convert to fraction form
    99,040/148,584 = 148,584/x
  3. Step 3: Cross multiply
    99,040x = 148,584 × 148,584
  4. Step 4: Simplify right side
    99,040x = 22,077,205,056
  5. Step 5: Solve for x
    x = 22,077,205,056/99,040
  6. Step 6: Final answer
    x = 222,912.01

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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.