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Finding the Third Proportional to 139,550 and 293,924

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Solution

The third proportional to 139,550 and 293,924 is: 619,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,550 : 293,924 = 293,924 : x
  2. Step 2: Convert to fraction form
    139,550/293,924 = 293,924/x
  3. Step 3: Cross multiply
    139,550x = 293,924 × 293,924
  4. Step 4: Simplify right side
    139,550x = 86,391,317,776
  5. Step 5: Solve for x
    x = 86,391,317,776/139,550
  6. Step 6: Final answer
    x = 619,070.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.