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Finding the Third Proportional to 103,872 and 229,541

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Solution

The third proportional to 103,872 and 229,541 is: 507,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,872 : 229,541 = 229,541 : x
  2. Step 2: Convert to fraction form
    103,872/229,541 = 229,541/x
  3. Step 3: Cross multiply
    103,872x = 229,541 × 229,541
  4. Step 4: Simplify right side
    103,872x = 52,689,070,681
  5. Step 5: Solve for x
    x = 52,689,070,681/103,872
  6. Step 6: Final answer
    x = 507,249.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.