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Finding the Third Proportional to 95,523 and 147,292.50

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Solution

The third proportional to 95,523 and 147,292.50 is: 227,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,523 : 147,292.50 = 147,292.50 : x
  2. Step 2: Convert to fraction form
    95,523/147,292.50 = 147,292.50/x
  3. Step 3: Cross multiply
    95,523x = 147,292.50 × 147,292.50
  4. Step 4: Simplify right side
    95,523x = 21,695,080,556.25
  5. Step 5: Solve for x
    x = 21,695,080,556.25/95,523
  6. Step 6: Final answer
    x = 227,118.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.