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Finding the Third Proportional to 74,750 and 115,430

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Solution

The third proportional to 74,750 and 115,430 is: 178,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,750 : 115,430 = 115,430 : x
  2. Step 2: Convert to fraction form
    74,750/115,430 = 115,430/x
  3. Step 3: Cross multiply
    74,750x = 115,430 × 115,430
  4. Step 4: Simplify right side
    74,750x = 13,324,084,900
  5. Step 5: Solve for x
    x = 13,324,084,900/74,750
  6. Step 6: Final answer
    x = 178,248.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.