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Finding the Third Proportional to 108,562 and 235,689

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Solution

The third proportional to 108,562 and 235,689 is: 511,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,562 : 235,689 = 235,689 : x
  2. Step 2: Convert to fraction form
    108,562/235,689 = 235,689/x
  3. Step 3: Cross multiply
    108,562x = 235,689 × 235,689
  4. Step 4: Simplify right side
    108,562x = 55,549,304,721
  5. Step 5: Solve for x
    x = 55,549,304,721/108,562
  6. Step 6: Final answer
    x = 511,682.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.