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Finding the Third Proportional to 63,364 and 138,410

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Solution

The third proportional to 63,364 and 138,410 is: 302,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,364 : 138,410 = 138,410 : x
  2. Step 2: Convert to fraction form
    63,364/138,410 = 138,410/x
  3. Step 3: Cross multiply
    63,364x = 138,410 × 138,410
  4. Step 4: Simplify right side
    63,364x = 19,157,328,100
  5. Step 5: Solve for x
    x = 19,157,328,100/63,364
  6. Step 6: Final answer
    x = 302,337.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.