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Finding the Third Proportional to 60,646 and 91,806

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Solution

The third proportional to 60,646 and 91,806 is: 138,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,646 : 91,806 = 91,806 : x
  2. Step 2: Convert to fraction form
    60,646/91,806 = 91,806/x
  3. Step 3: Cross multiply
    60,646x = 91,806 × 91,806
  4. Step 4: Simplify right side
    60,646x = 8,428,341,636
  5. Step 5: Solve for x
    x = 8,428,341,636/60,646
  6. Step 6: Final answer
    x = 138,976.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.