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Finding the Third Proportional to 102,593.25 and 153,479.81

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Solution

The third proportional to 102,593.25 and 153,479.81 is: 229,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,593.25 : 153,479.81 = 153,479.81 : x
  2. Step 2: Convert to fraction form
    102,593.25/153,479.81 = 153,479.81/x
  3. Step 3: Cross multiply
    102,593.25x = 153,479.81 × 153,479.81
  4. Step 4: Simplify right side
    102,593.25x = 23,556,052,845.04
  5. Step 5: Solve for x
    x = 23,556,052,845.04/102,593.25
  6. Step 6: Final answer
    x = 229,606.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.