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Finding the Third Proportional to 108,046 and 170,951

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Solution

The third proportional to 108,046 and 170,951 is: 270,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,046 : 170,951 = 170,951 : x
  2. Step 2: Convert to fraction form
    108,046/170,951 = 170,951/x
  3. Step 3: Cross multiply
    108,046x = 170,951 × 170,951
  4. Step 4: Simplify right side
    108,046x = 29,224,244,401
  5. Step 5: Solve for x
    x = 29,224,244,401/108,046
  6. Step 6: Final answer
    x = 270,479.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.