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Finding the Third Proportional to 69,747 and 89,554

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Solution

The third proportional to 69,747 and 89,554 is: 114,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,747 : 89,554 = 89,554 : x
  2. Step 2: Convert to fraction form
    69,747/89,554 = 89,554/x
  3. Step 3: Cross multiply
    69,747x = 89,554 × 89,554
  4. Step 4: Simplify right side
    69,747x = 8,019,918,916
  5. Step 5: Solve for x
    x = 8,019,918,916/69,747
  6. Step 6: Final answer
    x = 114,985.86

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.