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Finding the Third Proportional to 115,414 and 172,659

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Solution

The third proportional to 115,414 and 172,659 is: 258,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,414 : 172,659 = 172,659 : x
  2. Step 2: Convert to fraction form
    115,414/172,659 = 172,659/x
  3. Step 3: Cross multiply
    115,414x = 172,659 × 172,659
  4. Step 4: Simplify right side
    115,414x = 29,811,130,281
  5. Step 5: Solve for x
    x = 29,811,130,281/115,414
  6. Step 6: Final answer
    x = 258,297.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.