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Finding the Third Proportional to 98,446 and 147,764

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Solution

The third proportional to 98,446 and 147,764 is: 221,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,446 : 147,764 = 147,764 : x
  2. Step 2: Convert to fraction form
    98,446/147,764 = 147,764/x
  3. Step 3: Cross multiply
    98,446x = 147,764 × 147,764
  4. Step 4: Simplify right side
    98,446x = 21,834,199,696
  5. Step 5: Solve for x
    x = 21,834,199,696/98,446
  6. Step 6: Final answer
    x = 221,788.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.