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Finding the Third Proportional to 96,154 and 143,431

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Solution

The third proportional to 96,154 and 143,431 is: 213,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,154 : 143,431 = 143,431 : x
  2. Step 2: Convert to fraction form
    96,154/143,431 = 143,431/x
  3. Step 3: Cross multiply
    96,154x = 143,431 × 143,431
  4. Step 4: Simplify right side
    96,154x = 20,572,451,761
  5. Step 5: Solve for x
    x = 20,572,451,761/96,154
  6. Step 6: Final answer
    x = 213,953.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.