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Finding the Third Proportional to 75,053.50 and 114,126.50

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Solution

The third proportional to 75,053.50 and 114,126.50 is: 173,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,053.50 : 114,126.50 = 114,126.50 : x
  2. Step 2: Convert to fraction form
    75,053.50/114,126.50 = 114,126.50/x
  3. Step 3: Cross multiply
    75,053.50x = 114,126.50 × 114,126.50
  4. Step 4: Simplify right side
    75,053.50x = 13,024,858,002.25
  5. Step 5: Solve for x
    x = 13,024,858,002.25/75,053.50
  6. Step 6: Final answer
    x = 173,540.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.