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Finding the Third Proportional to 74,627 and 103,434

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Solution

The third proportional to 74,627 and 103,434 is: 143,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,627 : 103,434 = 103,434 : x
  2. Step 2: Convert to fraction form
    74,627/103,434 = 103,434/x
  3. Step 3: Cross multiply
    74,627x = 103,434 × 103,434
  4. Step 4: Simplify right side
    74,627x = 10,698,592,356
  5. Step 5: Solve for x
    x = 10,698,592,356/74,627
  6. Step 6: Final answer
    x = 143,360.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.