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Finding the Third Proportional to 48,070 and 73,926

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Solution

The third proportional to 48,070 and 73,926 is: 113,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,070 : 73,926 = 73,926 : x
  2. Step 2: Convert to fraction form
    48,070/73,926 = 73,926/x
  3. Step 3: Cross multiply
    48,070x = 73,926 × 73,926
  4. Step 4: Simplify right side
    48,070x = 5,465,053,476
  5. Step 5: Solve for x
    x = 5,465,053,476/48,070
  6. Step 6: Final answer
    x = 113,689.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.