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Finding the Third Proportional to 74,641.50 and 115,568.25

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Solution

The third proportional to 74,641.50 and 115,568.25 is: 178,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,641.50 : 115,568.25 = 115,568.25 : x
  2. Step 2: Convert to fraction form
    74,641.50/115,568.25 = 115,568.25/x
  3. Step 3: Cross multiply
    74,641.50x = 115,568.25 × 115,568.25
  4. Step 4: Simplify right side
    74,641.50x = 13,356,020,408.06
  5. Step 5: Solve for x
    x = 13,356,020,408.06/74,641.50
  6. Step 6: Final answer
    x = 178,935.58

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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.