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Finding the Third Proportional to 74,955.38 and 113,967.75

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Solution

The third proportional to 74,955.38 and 113,967.75 is: 173,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,955.38 : 113,967.75 = 113,967.75 : x
  2. Step 2: Convert to fraction form
    74,955.38/113,967.75 = 113,967.75/x
  3. Step 3: Cross multiply
    74,955.38x = 113,967.75 × 113,967.75
  4. Step 4: Simplify right side
    74,955.38x = 12,988,648,040.06
  5. Step 5: Solve for x
    x = 12,988,648,040.06/74,955.38
  6. Step 6: Final answer
    x = 173,285.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.