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Finding the Third Proportional to 63,126 and 136,044

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Solution

The third proportional to 63,126 and 136,044 is: 293,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,126 : 136,044 = 136,044 : x
  2. Step 2: Convert to fraction form
    63,126/136,044 = 136,044/x
  3. Step 3: Cross multiply
    63,126x = 136,044 × 136,044
  4. Step 4: Simplify right side
    63,126x = 18,507,969,936
  5. Step 5: Solve for x
    x = 18,507,969,936/63,126
  6. Step 6: Final answer
    x = 293,190.92

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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.