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Finding the Third Proportional to 108,577 and 164,711

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Solution

The third proportional to 108,577 and 164,711 is: 249,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,577 : 164,711 = 164,711 : x
  2. Step 2: Convert to fraction form
    108,577/164,711 = 164,711/x
  3. Step 3: Cross multiply
    108,577x = 164,711 × 164,711
  4. Step 4: Simplify right side
    108,577x = 27,129,713,521
  5. Step 5: Solve for x
    x = 27,129,713,521/108,577
  6. Step 6: Final answer
    x = 249,866.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.