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Finding the Third Proportional to 59,865.75 and 92,822.63

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Solution

The third proportional to 59,865.75 and 92,822.63 is: 143,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,865.75 : 92,822.63 = 92,822.63 : x
  2. Step 2: Convert to fraction form
    59,865.75/92,822.63 = 92,822.63/x
  3. Step 3: Cross multiply
    59,865.75x = 92,822.63 × 92,822.63
  4. Step 4: Simplify right side
    59,865.75x = 8,616,039,711.89
  5. Step 5: Solve for x
    x = 8,616,039,711.89/59,865.75
  6. Step 6: Final answer
    x = 143,922.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.