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Finding the Third Proportional to 96,138 and 143,410

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Solution

The third proportional to 96,138 and 143,410 is: 213,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138 : 143,410 = 143,410 : x
  2. Step 2: Convert to fraction form
    96,138/143,410 = 143,410/x
  3. Step 3: Cross multiply
    96,138x = 143,410 × 143,410
  4. Step 4: Simplify right side
    96,138x = 20,566,428,100
  5. Step 5: Solve for x
    x = 20,566,428,100/96,138
  6. Step 6: Final answer
    x = 213,926.11

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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.