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Finding the Third Proportional to 104,523.19 and 157,764.38

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Solution

The third proportional to 104,523.19 and 157,764.38 is: 238,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,523.19 : 157,764.38 = 157,764.38 : x
  2. Step 2: Convert to fraction form
    104,523.19/157,764.38 = 157,764.38/x
  3. Step 3: Cross multiply
    104,523.19x = 157,764.38 × 157,764.38
  4. Step 4: Simplify right side
    104,523.19x = 24,889,598,019.14
  5. Step 5: Solve for x
    x = 24,889,598,019.14/104,523.19
  6. Step 6: Final answer
    x = 238,125.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.