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Finding the Third Proportional to 96,148 and 143,424

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Solution

The third proportional to 96,148 and 143,424 is: 213,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,148 : 143,424 = 143,424 : x
  2. Step 2: Convert to fraction form
    96,148/143,424 = 143,424/x
  3. Step 3: Cross multiply
    96,148x = 143,424 × 143,424
  4. Step 4: Simplify right side
    96,148x = 20,570,443,776
  5. Step 5: Solve for x
    x = 20,570,443,776/96,148
  6. Step 6: Final answer
    x = 213,945.62

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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.