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Finding the Third Proportional to 74,034 and 108,285.19

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Solution

The third proportional to 74,034 and 108,285.19 is: 158,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 108,285.19 = 108,285.19 : x
  2. Step 2: Convert to fraction form
    74,034/108,285.19 = 108,285.19/x
  3. Step 3: Cross multiply
    74,034x = 108,285.19 × 108,285.19
  4. Step 4: Simplify right side
    74,034x = 11,725,681,831.91
  5. Step 5: Solve for x
    x = 11,725,681,831.91/74,034
  6. Step 6: Final answer
    x = 158,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.