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Finding the Third Proportional to 124,476 and 191,329

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Solution

The third proportional to 124,476 and 191,329 is: 294,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,476 : 191,329 = 191,329 : x
  2. Step 2: Convert to fraction form
    124,476/191,329 = 191,329/x
  3. Step 3: Cross multiply
    124,476x = 191,329 × 191,329
  4. Step 4: Simplify right side
    124,476x = 36,606,786,241
  5. Step 5: Solve for x
    x = 36,606,786,241/124,476
  6. Step 6: Final answer
    x = 294,087.10

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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.