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Finding the Third Proportional to 129,904 and 176,040

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Solution

The third proportional to 129,904 and 176,040 is: 238,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,904 : 176,040 = 176,040 : x
  2. Step 2: Convert to fraction form
    129,904/176,040 = 176,040/x
  3. Step 3: Cross multiply
    129,904x = 176,040 × 176,040
  4. Step 4: Simplify right side
    129,904x = 30,990,081,600
  5. Step 5: Solve for x
    x = 30,990,081,600/129,904
  6. Step 6: Final answer
    x = 238,561.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.