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Finding the Third Proportional to 119,482 and 172,716

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Solution

The third proportional to 119,482 and 172,716 is: 249,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,482 : 172,716 = 172,716 : x
  2. Step 2: Convert to fraction form
    119,482/172,716 = 172,716/x
  3. Step 3: Cross multiply
    119,482x = 172,716 × 172,716
  4. Step 4: Simplify right side
    119,482x = 29,830,816,656
  5. Step 5: Solve for x
    x = 29,830,816,656/119,482
  6. Step 6: Final answer
    x = 249,667.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.