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Finding the Third Proportional to 124,567 and 193,414

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Solution

The third proportional to 124,567 and 193,414 is: 300,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,567 : 193,414 = 193,414 : x
  2. Step 2: Convert to fraction form
    124,567/193,414 = 193,414/x
  3. Step 3: Cross multiply
    124,567x = 193,414 × 193,414
  4. Step 4: Simplify right side
    124,567x = 37,408,975,396
  5. Step 5: Solve for x
    x = 37,408,975,396/124,567
  6. Step 6: Final answer
    x = 300,312.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.