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Finding the Third Proportional to 108,291 and 162,437

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Solution

The third proportional to 108,291 and 162,437 is: 243,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,291 : 162,437 = 162,437 : x
  2. Step 2: Convert to fraction form
    108,291/162,437 = 162,437/x
  3. Step 3: Cross multiply
    108,291x = 162,437 × 162,437
  4. Step 4: Simplify right side
    108,291x = 26,385,778,969
  5. Step 5: Solve for x
    x = 26,385,778,969/108,291
  6. Step 6: Final answer
    x = 243,656.25

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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.