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Finding the Third Proportional to 113,374.50 and 176,954.25

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Solution

The third proportional to 113,374.50 and 176,954.25 is: 276,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,374.50 : 176,954.25 = 176,954.25 : x
  2. Step 2: Convert to fraction form
    113,374.50/176,954.25 = 176,954.25/x
  3. Step 3: Cross multiply
    113,374.50x = 176,954.25 × 176,954.25
  4. Step 4: Simplify right side
    113,374.50x = 31,312,806,593.06
  5. Step 5: Solve for x
    x = 31,312,806,593.06/113,374.50
  6. Step 6: Final answer
    x = 276,189.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.