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Finding the Third Proportional to 62,241 and 89,473.50

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Solution

The third proportional to 62,241 and 89,473.50 is: 128,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,241 : 89,473.50 = 89,473.50 : x
  2. Step 2: Convert to fraction form
    62,241/89,473.50 = 89,473.50/x
  3. Step 3: Cross multiply
    62,241x = 89,473.50 × 89,473.50
  4. Step 4: Simplify right side
    62,241x = 8,005,507,202.25
  5. Step 5: Solve for x
    x = 8,005,507,202.25/62,241
  6. Step 6: Final answer
    x = 128,621.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.