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Finding the Third Proportional to 74,130.75 and 174,910.78

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Solution

The third proportional to 74,130.75 and 174,910.78 is: 412,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,130.75 : 174,910.78 = 174,910.78 : x
  2. Step 2: Convert to fraction form
    74,130.75/174,910.78 = 174,910.78/x
  3. Step 3: Cross multiply
    74,130.75x = 174,910.78 × 174,910.78
  4. Step 4: Simplify right side
    74,130.75x = 30,593,781,397.49
  5. Step 5: Solve for x
    x = 30,593,781,397.49/74,130.75
  6. Step 6: Final answer
    x = 412,700.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.