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Finding the Third Proportional to 74,982 and 113,242.50

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Solution

The third proportional to 74,982 and 113,242.50 is: 171,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,982 : 113,242.50 = 113,242.50 : x
  2. Step 2: Convert to fraction form
    74,982/113,242.50 = 113,242.50/x
  3. Step 3: Cross multiply
    74,982x = 113,242.50 × 113,242.50
  4. Step 4: Simplify right side
    74,982x = 12,823,863,806.25
  5. Step 5: Solve for x
    x = 12,823,863,806.25/74,982
  6. Step 6: Final answer
    x = 171,025.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.