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Finding the Third Proportional to 48,926 and 81,246

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Solution

The third proportional to 48,926 and 81,246 is: 134,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,926 : 81,246 = 81,246 : x
  2. Step 2: Convert to fraction form
    48,926/81,246 = 81,246/x
  3. Step 3: Cross multiply
    48,926x = 81,246 × 81,246
  4. Step 4: Simplify right side
    48,926x = 6,600,912,516
  5. Step 5: Solve for x
    x = 6,600,912,516/48,926
  6. Step 6: Final answer
    x = 134,916.25

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.