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Finding the Third Proportional to 135,376 and 199,140

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Solution

The third proportional to 135,376 and 199,140 is: 292,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,376 : 199,140 = 199,140 : x
  2. Step 2: Convert to fraction form
    135,376/199,140 = 199,140/x
  3. Step 3: Cross multiply
    135,376x = 199,140 × 199,140
  4. Step 4: Simplify right side
    135,376x = 39,656,739,600
  5. Step 5: Solve for x
    x = 39,656,739,600/135,376
  6. Step 6: Final answer
    x = 292,937.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.