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Finding the Third Proportional to 63,254 and 136,282

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Solution

The third proportional to 63,254 and 136,282 is: 293,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,254 : 136,282 = 136,282 : x
  2. Step 2: Convert to fraction form
    63,254/136,282 = 136,282/x
  3. Step 3: Cross multiply
    63,254x = 136,282 × 136,282
  4. Step 4: Simplify right side
    63,254x = 18,572,783,524
  5. Step 5: Solve for x
    x = 18,572,783,524/63,254
  6. Step 6: Final answer
    x = 293,622.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.