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Finding the Third Proportional to 42,496 and 62,240

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Solution

The third proportional to 42,496 and 62,240 is: 91,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,496 : 62,240 = 62,240 : x
  2. Step 2: Convert to fraction form
    42,496/62,240 = 62,240/x
  3. Step 3: Cross multiply
    42,496x = 62,240 × 62,240
  4. Step 4: Simplify right side
    42,496x = 3,873,817,600
  5. Step 5: Solve for x
    x = 3,873,817,600/42,496
  6. Step 6: Final answer
    x = 91,157.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.