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Finding the Third Proportional to 62,848 and 89,584

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Solution

The third proportional to 62,848 and 89,584 is: 127,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,848 : 89,584 = 89,584 : x
  2. Step 2: Convert to fraction form
    62,848/89,584 = 89,584/x
  3. Step 3: Cross multiply
    62,848x = 89,584 × 89,584
  4. Step 4: Simplify right side
    62,848x = 8,025,293,056
  5. Step 5: Solve for x
    x = 8,025,293,056/62,848
  6. Step 6: Final answer
    x = 127,693.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.