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Finding the Third Proportional to 113,189.50 and 153,176.50

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Solution

The third proportional to 113,189.50 and 153,176.50 is: 207,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,189.50 : 153,176.50 = 153,176.50 : x
  2. Step 2: Convert to fraction form
    113,189.50/153,176.50 = 153,176.50/x
  3. Step 3: Cross multiply
    113,189.50x = 153,176.50 × 153,176.50
  4. Step 4: Simplify right side
    113,189.50x = 23,463,040,152.25
  5. Step 5: Solve for x
    x = 23,463,040,152.25/113,189.50
  6. Step 6: Final answer
    x = 207,289.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.