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Finding the Third Proportional to 141,081.75 and 207,106.88

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Solution

The third proportional to 141,081.75 and 207,106.88 is: 304,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,081.75 : 207,106.88 = 207,106.88 : x
  2. Step 2: Convert to fraction form
    141,081.75/207,106.88 = 207,106.88/x
  3. Step 3: Cross multiply
    141,081.75x = 207,106.88 × 207,106.88
  4. Step 4: Simplify right side
    141,081.75x = 42,893,257,672.27
  5. Step 5: Solve for x
    x = 42,893,257,672.27/141,081.75
  6. Step 6: Final answer
    x = 304,031.23

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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.