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Finding the Third Proportional to 59,330 and 91,835

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Solution

The third proportional to 59,330 and 91,835 is: 142,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,330 : 91,835 = 91,835 : x
  2. Step 2: Convert to fraction form
    59,330/91,835 = 91,835/x
  3. Step 3: Cross multiply
    59,330x = 91,835 × 91,835
  4. Step 4: Simplify right side
    59,330x = 8,433,667,225
  5. Step 5: Solve for x
    x = 8,433,667,225/59,330
  6. Step 6: Final answer
    x = 142,148.44

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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.