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Finding the Third Proportional to 125,585 and 176,009

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Solution

The third proportional to 125,585 and 176,009 is: 246,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,585 : 176,009 = 176,009 : x
  2. Step 2: Convert to fraction form
    125,585/176,009 = 176,009/x
  3. Step 3: Cross multiply
    125,585x = 176,009 × 176,009
  4. Step 4: Simplify right side
    125,585x = 30,979,168,081
  5. Step 5: Solve for x
    x = 30,979,168,081/125,585
  6. Step 6: Final answer
    x = 246,678.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.