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Finding the Third Proportional to 95,225.63 and 145,891.13

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Solution

The third proportional to 95,225.63 and 145,891.13 is: 223,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,225.63 : 145,891.13 = 145,891.13 : x
  2. Step 2: Convert to fraction form
    95,225.63/145,891.13 = 145,891.13/x
  3. Step 3: Cross multiply
    95,225.63x = 145,891.13 × 145,891.13
  4. Step 4: Simplify right side
    95,225.63x = 21,284,220,353.77
  5. Step 5: Solve for x
    x = 21,284,220,353.77/95,225.63
  6. Step 6: Final answer
    x = 223,513.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.