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Finding the Third Proportional to 104,412.16 and 157,079.57

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Solution

The third proportional to 104,412.16 and 157,079.57 is: 236,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,412.16 : 157,079.57 = 157,079.57 : x
  2. Step 2: Convert to fraction form
    104,412.16/157,079.57 = 157,079.57/x
  3. Step 3: Cross multiply
    104,412.16x = 157,079.57 × 157,079.57
  4. Step 4: Simplify right side
    104,412.16x = 24,673,990,182.38
  5. Step 5: Solve for x
    x = 24,673,990,182.38/104,412.16
  6. Step 6: Final answer
    x = 236,313.37

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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.