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Finding the Third Proportional to 59,223.50 and 78,251

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Solution

The third proportional to 59,223.50 and 78,251 is: 103,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,223.50 : 78,251 = 78,251 : x
  2. Step 2: Convert to fraction form
    59,223.50/78,251 = 78,251/x
  3. Step 3: Cross multiply
    59,223.50x = 78,251 × 78,251
  4. Step 4: Simplify right side
    59,223.50x = 6,123,219,001
  5. Step 5: Solve for x
    x = 6,123,219,001/59,223.50
  6. Step 6: Final answer
    x = 103,391.71

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.