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Finding the Third Proportional to 64,624 and 94,806

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Solution

The third proportional to 64,624 and 94,806 is: 139,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,624 : 94,806 = 94,806 : x
  2. Step 2: Convert to fraction form
    64,624/94,806 = 94,806/x
  3. Step 3: Cross multiply
    64,624x = 94,806 × 94,806
  4. Step 4: Simplify right side
    64,624x = 8,988,177,636
  5. Step 5: Solve for x
    x = 8,988,177,636/64,624
  6. Step 6: Final answer
    x = 139,084.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.