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Finding the Third Proportional to 63,982 and 135,346

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Solution

The third proportional to 63,982 and 135,346 is: 286,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,982 : 135,346 = 135,346 : x
  2. Step 2: Convert to fraction form
    63,982/135,346 = 135,346/x
  3. Step 3: Cross multiply
    63,982x = 135,346 × 135,346
  4. Step 4: Simplify right side
    63,982x = 18,318,539,716
  5. Step 5: Solve for x
    x = 18,318,539,716/63,982
  6. Step 6: Final answer
    x = 286,307.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.