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Finding the Third Proportional to 59,101.50 and 92,178

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Solution

The third proportional to 59,101.50 and 92,178 is: 143,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,101.50 : 92,178 = 92,178 : x
  2. Step 2: Convert to fraction form
    59,101.50/92,178 = 92,178/x
  3. Step 3: Cross multiply
    59,101.50x = 92,178 × 92,178
  4. Step 4: Simplify right side
    59,101.50x = 8,496,783,684
  5. Step 5: Solve for x
    x = 8,496,783,684/59,101.50
  6. Step 6: Final answer
    x = 143,765.96

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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.