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Finding the Third Proportional to 59,148 and 89,337

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Solution

The third proportional to 59,148 and 89,337 is: 134,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,148 : 89,337 = 89,337 : x
  2. Step 2: Convert to fraction form
    59,148/89,337 = 89,337/x
  3. Step 3: Cross multiply
    59,148x = 89,337 × 89,337
  4. Step 4: Simplify right side
    59,148x = 7,981,099,569
  5. Step 5: Solve for x
    x = 7,981,099,569/59,148
  6. Step 6: Final answer
    x = 134,934.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.