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Finding the Third Proportional to 119,442 and 172,659

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Solution

The third proportional to 119,442 and 172,659 is: 249,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,442 : 172,659 = 172,659 : x
  2. Step 2: Convert to fraction form
    119,442/172,659 = 172,659/x
  3. Step 3: Cross multiply
    119,442x = 172,659 × 172,659
  4. Step 4: Simplify right side
    119,442x = 29,811,130,281
  5. Step 5: Solve for x
    x = 29,811,130,281/119,442
  6. Step 6: Final answer
    x = 249,586.66

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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.