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Finding the Third Proportional to 96,984 and 146,340

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Solution

The third proportional to 96,984 and 146,340 is: 220,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 146,340 = 146,340 : x
  2. Step 2: Convert to fraction form
    96,984/146,340 = 146,340/x
  3. Step 3: Cross multiply
    96,984x = 146,340 × 146,340
  4. Step 4: Simplify right side
    96,984x = 21,415,395,600
  5. Step 5: Solve for x
    x = 21,415,395,600/96,984
  6. Step 6: Final answer
    x = 220,813.70

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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.