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Finding the Third Proportional to 89,037.75 and 127,545

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Solution

The third proportional to 89,037.75 and 127,545 is: 182,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,037.75 : 127,545 = 127,545 : x
  2. Step 2: Convert to fraction form
    89,037.75/127,545 = 127,545/x
  3. Step 3: Cross multiply
    89,037.75x = 127,545 × 127,545
  4. Step 4: Simplify right side
    89,037.75x = 16,267,727,025
  5. Step 5: Solve for x
    x = 16,267,727,025/89,037.75
  6. Step 6: Final answer
    x = 182,705.95

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Why These Related Problems?

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