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Finding the Third Proportional to 134,782 and 199,545

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Solution

The third proportional to 134,782 and 199,545 is: 295,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,782 : 199,545 = 199,545 : x
  2. Step 2: Convert to fraction form
    134,782/199,545 = 199,545/x
  3. Step 3: Cross multiply
    134,782x = 199,545 × 199,545
  4. Step 4: Simplify right side
    134,782x = 39,818,207,025
  5. Step 5: Solve for x
    x = 39,818,207,025/134,782
  6. Step 6: Final answer
    x = 295,426.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.