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Finding the Third Proportional to 61,395 and 94,806

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Solution

The third proportional to 61,395 and 94,806 is: 146,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,395 : 94,806 = 94,806 : x
  2. Step 2: Convert to fraction form
    61,395/94,806 = 94,806/x
  3. Step 3: Cross multiply
    61,395x = 94,806 × 94,806
  4. Step 4: Simplify right side
    61,395x = 8,988,177,636
  5. Step 5: Solve for x
    x = 8,988,177,636/61,395
  6. Step 6: Final answer
    x = 146,399.18

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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.