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Finding the Third Proportional to 124,330 and 191,215

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Solution

The third proportional to 124,330 and 191,215 is: 294,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,330 : 191,215 = 191,215 : x
  2. Step 2: Convert to fraction form
    124,330/191,215 = 191,215/x
  3. Step 3: Cross multiply
    124,330x = 191,215 × 191,215
  4. Step 4: Simplify right side
    124,330x = 36,563,176,225
  5. Step 5: Solve for x
    x = 36,563,176,225/124,330
  6. Step 6: Final answer
    x = 294,081.69

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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.