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Finding the Third Proportional to 63,734 and 89,143

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Solution

The third proportional to 63,734 and 89,143 is: 124,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,734 : 89,143 = 89,143 : x
  2. Step 2: Convert to fraction form
    63,734/89,143 = 89,143/x
  3. Step 3: Cross multiply
    63,734x = 89,143 × 89,143
  4. Step 4: Simplify right side
    63,734x = 7,946,474,449
  5. Step 5: Solve for x
    x = 7,946,474,449/63,734
  6. Step 6: Final answer
    x = 124,681.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.