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Finding the Third Proportional to 53,221.50 and 113,670

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Solution

The third proportional to 53,221.50 and 113,670 is: 242,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,221.50 : 113,670 = 113,670 : x
  2. Step 2: Convert to fraction form
    53,221.50/113,670 = 113,670/x
  3. Step 3: Cross multiply
    53,221.50x = 113,670 × 113,670
  4. Step 4: Simplify right side
    53,221.50x = 12,920,868,900
  5. Step 5: Solve for x
    x = 12,920,868,900/53,221.50
  6. Step 6: Final answer
    x = 242,775.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.