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Finding the Third Proportional to 86,260 and 128,854

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Solution

The third proportional to 86,260 and 128,854 is: 192,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,260 : 128,854 = 128,854 : x
  2. Step 2: Convert to fraction form
    86,260/128,854 = 128,854/x
  3. Step 3: Cross multiply
    86,260x = 128,854 × 128,854
  4. Step 4: Simplify right side
    86,260x = 16,603,353,316
  5. Step 5: Solve for x
    x = 16,603,353,316/86,260
  6. Step 6: Final answer
    x = 192,480.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.