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Finding the Third Proportional to 88,516 and 191,120

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Solution

The third proportional to 88,516 and 191,120 is: 412,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,516 : 191,120 = 191,120 : x
  2. Step 2: Convert to fraction form
    88,516/191,120 = 191,120/x
  3. Step 3: Cross multiply
    88,516x = 191,120 × 191,120
  4. Step 4: Simplify right side
    88,516x = 36,526,854,400
  5. Step 5: Solve for x
    x = 36,526,854,400/88,516
  6. Step 6: Final answer
    x = 412,658.21

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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.