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Finding the Third Proportional to 49,265 and 75,343

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Solution

The third proportional to 49,265 and 75,343 is: 115,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265 : 75,343 = 75,343 : x
  2. Step 2: Convert to fraction form
    49,265/75,343 = 75,343/x
  3. Step 3: Cross multiply
    49,265x = 75,343 × 75,343
  4. Step 4: Simplify right side
    49,265x = 5,676,567,649
  5. Step 5: Solve for x
    x = 5,676,567,649/49,265
  6. Step 6: Final answer
    x = 115,225.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.