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Finding the Third Proportional to 102,045.38 and 158,397.19

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Solution

The third proportional to 102,045.38 and 158,397.19 is: 245,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.38 : 158,397.19 = 158,397.19 : x
  2. Step 2: Convert to fraction form
    102,045.38/158,397.19 = 158,397.19/x
  3. Step 3: Cross multiply
    102,045.38x = 158,397.19 × 158,397.19
  4. Step 4: Simplify right side
    102,045.38x = 25,089,669,007.91
  5. Step 5: Solve for x
    x = 25,089,669,007.91/102,045.38
  6. Step 6: Final answer
    x = 245,867.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.