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Finding the Third Proportional to 72,605.63 and 153,864.75

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Solution

The third proportional to 72,605.63 and 153,864.75 is: 326,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,605.63 : 153,864.75 = 153,864.75 : x
  2. Step 2: Convert to fraction form
    72,605.63/153,864.75 = 153,864.75/x
  3. Step 3: Cross multiply
    72,605.63x = 153,864.75 × 153,864.75
  4. Step 4: Simplify right side
    72,605.63x = 23,674,361,292.56
  5. Step 5: Solve for x
    x = 23,674,361,292.56/72,605.63
  6. Step 6: Final answer
    x = 326,067.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.