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Finding the Third Proportional to 74,038 and 108,280.25

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Solution

The third proportional to 74,038 and 108,280.25 is: 158,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,038 : 108,280.25 = 108,280.25 : x
  2. Step 2: Convert to fraction form
    74,038/108,280.25 = 108,280.25/x
  3. Step 3: Cross multiply
    74,038x = 108,280.25 × 108,280.25
  4. Step 4: Simplify right side
    74,038x = 11,724,612,540.06
  5. Step 5: Solve for x
    x = 11,724,612,540.06/74,038
  6. Step 6: Final answer
    x = 158,359.39

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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.