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Finding the Third Proportional to 99,708.75 and 148,101.75

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Solution

The third proportional to 99,708.75 and 148,101.75 is: 219,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708.75 : 148,101.75 = 148,101.75 : x
  2. Step 2: Convert to fraction form
    99,708.75/148,101.75 = 148,101.75/x
  3. Step 3: Cross multiply
    99,708.75x = 148,101.75 × 148,101.75
  4. Step 4: Simplify right side
    99,708.75x = 21,934,128,353.06
  5. Step 5: Solve for x
    x = 21,934,128,353.06/99,708.75
  6. Step 6: Final answer
    x = 219,981.98

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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.