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Finding the Third Proportional to 96,648 and 147,060

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Solution

The third proportional to 96,648 and 147,060 is: 223,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648 : 147,060 = 147,060 : x
  2. Step 2: Convert to fraction form
    96,648/147,060 = 147,060/x
  3. Step 3: Cross multiply
    96,648x = 147,060 × 147,060
  4. Step 4: Simplify right side
    96,648x = 21,626,643,600
  5. Step 5: Solve for x
    x = 21,626,643,600/96,648
  6. Step 6: Final answer
    x = 223,767.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.