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Finding the Third Proportional to 124,317 and 191,195

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Solution

The third proportional to 124,317 and 191,195 is: 294,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,317 : 191,195 = 191,195 : x
  2. Step 2: Convert to fraction form
    124,317/191,195 = 191,195/x
  3. Step 3: Cross multiply
    124,317x = 191,195 × 191,195
  4. Step 4: Simplify right side
    124,317x = 36,555,528,025
  5. Step 5: Solve for x
    x = 36,555,528,025/124,317
  6. Step 6: Final answer
    x = 294,050.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.