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Finding the Third Proportional to 59,023.50 and 92,065.50

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Solution

The third proportional to 59,023.50 and 92,065.50 is: 143,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,023.50 : 92,065.50 = 92,065.50 : x
  2. Step 2: Convert to fraction form
    59,023.50/92,065.50 = 92,065.50/x
  3. Step 3: Cross multiply
    59,023.50x = 92,065.50 × 92,065.50
  4. Step 4: Simplify right side
    59,023.50x = 8,476,056,290.25
  5. Step 5: Solve for x
    x = 8,476,056,290.25/59,023.50
  6. Step 6: Final answer
    x = 143,604.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.