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Finding the Third Proportional to 88,677 and 191,421

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Solution

The third proportional to 88,677 and 191,421 is: 413,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,677 : 191,421 = 191,421 : x
  2. Step 2: Convert to fraction form
    88,677/191,421 = 191,421/x
  3. Step 3: Cross multiply
    88,677x = 191,421 × 191,421
  4. Step 4: Simplify right side
    88,677x = 36,641,999,241
  5. Step 5: Solve for x
    x = 36,641,999,241/88,677
  6. Step 6: Final answer
    x = 413,207.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.