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Finding the Third Proportional to 88,283 and 126,115

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Solution

The third proportional to 88,283 and 126,115 is: 180,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,283 : 126,115 = 126,115 : x
  2. Step 2: Convert to fraction form
    88,283/126,115 = 126,115/x
  3. Step 3: Cross multiply
    88,283x = 126,115 × 126,115
  4. Step 4: Simplify right side
    88,283x = 15,904,993,225
  5. Step 5: Solve for x
    x = 15,904,993,225/88,283
  6. Step 6: Final answer
    x = 180,159.18

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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.