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Finding the Third Proportional to 96,144 and 147,861

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Solution

The third proportional to 96,144 and 147,861 is: 227,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,144 : 147,861 = 147,861 : x
  2. Step 2: Convert to fraction form
    96,144/147,861 = 147,861/x
  3. Step 3: Cross multiply
    96,144x = 147,861 × 147,861
  4. Step 4: Simplify right side
    96,144x = 21,862,875,321
  5. Step 5: Solve for x
    x = 21,862,875,321/96,144
  6. Step 6: Final answer
    x = 227,397.19

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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.