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Finding the Third Proportional to 113,514.50 and 154,230.50

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Solution

The third proportional to 113,514.50 and 154,230.50 is: 209,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,514.50 : 154,230.50 = 154,230.50 : x
  2. Step 2: Convert to fraction form
    113,514.50/154,230.50 = 154,230.50/x
  3. Step 3: Cross multiply
    113,514.50x = 154,230.50 × 154,230.50
  4. Step 4: Simplify right side
    113,514.50x = 23,787,047,130.25
  5. Step 5: Solve for x
    x = 23,787,047,130.25/113,514.50
  6. Step 6: Final answer
    x = 209,550.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.