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Finding the Third Proportional to 123,088 and 176,019

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Solution

The third proportional to 123,088 and 176,019 is: 251,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,088 : 176,019 = 176,019 : x
  2. Step 2: Convert to fraction form
    123,088/176,019 = 176,019/x
  3. Step 3: Cross multiply
    123,088x = 176,019 × 176,019
  4. Step 4: Simplify right side
    123,088x = 30,982,688,361
  5. Step 5: Solve for x
    x = 30,982,688,361/123,088
  6. Step 6: Final answer
    x = 251,711.69

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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.