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Finding the Third Proportional to 59,337 and 90,769.50

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Solution

The third proportional to 59,337 and 90,769.50 is: 138,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,337 : 90,769.50 = 90,769.50 : x
  2. Step 2: Convert to fraction form
    59,337/90,769.50 = 90,769.50/x
  3. Step 3: Cross multiply
    59,337x = 90,769.50 × 90,769.50
  4. Step 4: Simplify right side
    59,337x = 8,239,102,130.25
  5. Step 5: Solve for x
    x = 8,239,102,130.25/59,337
  6. Step 6: Final answer
    x = 138,852.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.