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Finding the Third Proportional to 42,362 and 62,229

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Solution

The third proportional to 42,362 and 62,229 is: 91,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,362 : 62,229 = 62,229 : x
  2. Step 2: Convert to fraction form
    42,362/62,229 = 62,229/x
  3. Step 3: Cross multiply
    42,362x = 62,229 × 62,229
  4. Step 4: Simplify right side
    42,362x = 3,872,448,441
  5. Step 5: Solve for x
    x = 3,872,448,441/42,362
  6. Step 6: Final answer
    x = 91,413.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.