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Finding the Third Proportional to 44,471 and 77,926

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Solution

The third proportional to 44,471 and 77,926 is: 136,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,471 : 77,926 = 77,926 : x
  2. Step 2: Convert to fraction form
    44,471/77,926 = 77,926/x
  3. Step 3: Cross multiply
    44,471x = 77,926 × 77,926
  4. Step 4: Simplify right side
    44,471x = 6,072,461,476
  5. Step 5: Solve for x
    x = 6,072,461,476/44,471
  6. Step 6: Final answer
    x = 136,548.80

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.