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Finding the Third Proportional to 95,047.17 and 148,023.07

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Solution

The third proportional to 95,047.17 and 148,023.07 is: 230,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,047.17 : 148,023.07 = 148,023.07 : x
  2. Step 2: Convert to fraction form
    95,047.17/148,023.07 = 148,023.07/x
  3. Step 3: Cross multiply
    95,047.17x = 148,023.07 × 148,023.07
  4. Step 4: Simplify right side
    95,047.17x = 21,910,829,344.74
  5. Step 5: Solve for x
    x = 21,910,829,344.74/95,047.17
  6. Step 6: Final answer
    x = 230,525.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.