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Finding the Third Proportional to 63,149 and 139,473

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Solution

The third proportional to 63,149 and 139,473 is: 308,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,149 : 139,473 = 139,473 : x
  2. Step 2: Convert to fraction form
    63,149/139,473 = 139,473/x
  3. Step 3: Cross multiply
    63,149x = 139,473 × 139,473
  4. Step 4: Simplify right side
    63,149x = 19,452,717,729
  5. Step 5: Solve for x
    x = 19,452,717,729/63,149
  6. Step 6: Final answer
    x = 308,044.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.