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Finding the Third Proportional to 124,872 and 191,484

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Solution

The third proportional to 124,872 and 191,484 is: 293,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,872 : 191,484 = 191,484 : x
  2. Step 2: Convert to fraction form
    124,872/191,484 = 191,484/x
  3. Step 3: Cross multiply
    124,872x = 191,484 × 191,484
  4. Step 4: Simplify right side
    124,872x = 36,666,122,256
  5. Step 5: Solve for x
    x = 36,666,122,256/124,872
  6. Step 6: Final answer
    x = 293,629.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.