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Finding the Third Proportional to 96,010 and 145,340

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Solution

The third proportional to 96,010 and 145,340 is: 220,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,010 : 145,340 = 145,340 : x
  2. Step 2: Convert to fraction form
    96,010/145,340 = 145,340/x
  3. Step 3: Cross multiply
    96,010x = 145,340 × 145,340
  4. Step 4: Simplify right side
    96,010x = 21,123,715,600
  5. Step 5: Solve for x
    x = 21,123,715,600/96,010
  6. Step 6: Final answer
    x = 220,015.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.