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Finding the Third Proportional to 59,391 and 128,065

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Solution

The third proportional to 59,391 and 128,065 is: 276,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,391 : 128,065 = 128,065 : x
  2. Step 2: Convert to fraction form
    59,391/128,065 = 128,065/x
  3. Step 3: Cross multiply
    59,391x = 128,065 × 128,065
  4. Step 4: Simplify right side
    59,391x = 16,400,644,225
  5. Step 5: Solve for x
    x = 16,400,644,225/59,391
  6. Step 6: Final answer
    x = 276,146.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.