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Finding the Third Proportional to 63,209 and 139,540

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Solution

The third proportional to 63,209 and 139,540 is: 308,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,209 : 139,540 = 139,540 : x
  2. Step 2: Convert to fraction form
    63,209/139,540 = 139,540/x
  3. Step 3: Cross multiply
    63,209x = 139,540 × 139,540
  4. Step 4: Simplify right side
    63,209x = 19,471,411,600
  5. Step 5: Solve for x
    x = 19,471,411,600/63,209
  6. Step 6: Final answer
    x = 308,048.09

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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.