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Finding the Third Proportional to 63,184 and 136,209

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Solution

The third proportional to 63,184 and 136,209 is: 293,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,184 : 136,209 = 136,209 : x
  2. Step 2: Convert to fraction form
    63,184/136,209 = 136,209/x
  3. Step 3: Cross multiply
    63,184x = 136,209 × 136,209
  4. Step 4: Simplify right side
    63,184x = 18,552,891,681
  5. Step 5: Solve for x
    x = 18,552,891,681/63,184
  6. Step 6: Final answer
    x = 293,632.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.