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Finding the Third Proportional to 96,412 and 144,106

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Solution

The third proportional to 96,412 and 144,106 is: 215,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412 : 144,106 = 144,106 : x
  2. Step 2: Convert to fraction form
    96,412/144,106 = 144,106/x
  3. Step 3: Cross multiply
    96,412x = 144,106 × 144,106
  4. Step 4: Simplify right side
    96,412x = 20,766,539,236
  5. Step 5: Solve for x
    x = 20,766,539,236/96,412
  6. Step 6: Final answer
    x = 215,393.72

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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.