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Finding the Third Proportional to 95,634 and 147,565

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Solution

The third proportional to 95,634 and 147,565 is: 227,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,634 : 147,565 = 147,565 : x
  2. Step 2: Convert to fraction form
    95,634/147,565 = 147,565/x
  3. Step 3: Cross multiply
    95,634x = 147,565 × 147,565
  4. Step 4: Simplify right side
    95,634x = 21,775,429,225
  5. Step 5: Solve for x
    x = 21,775,429,225/95,634
  6. Step 6: Final answer
    x = 227,695.48

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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.