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Finding the Third Proportional to 98,788 and 142,806

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Solution

The third proportional to 98,788 and 142,806 is: 206,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,788 : 142,806 = 142,806 : x
  2. Step 2: Convert to fraction form
    98,788/142,806 = 142,806/x
  3. Step 3: Cross multiply
    98,788x = 142,806 × 142,806
  4. Step 4: Simplify right side
    98,788x = 20,393,553,636
  5. Step 5: Solve for x
    x = 20,393,553,636/98,788
  6. Step 6: Final answer
    x = 206,437.56

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.