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Finding the Third Proportional to 74,974.50 and 116,046

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Solution

The third proportional to 74,974.50 and 116,046 is: 179,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,974.50 : 116,046 = 116,046 : x
  2. Step 2: Convert to fraction form
    74,974.50/116,046 = 116,046/x
  3. Step 3: Cross multiply
    74,974.50x = 116,046 × 116,046
  4. Step 4: Simplify right side
    74,974.50x = 13,466,674,116
  5. Step 5: Solve for x
    x = 13,466,674,116/74,974.50
  6. Step 6: Final answer
    x = 179,616.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.