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Finding the Third Proportional to 128,526 and 192,033

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Solution

The third proportional to 128,526 and 192,033 is: 286,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,526 : 192,033 = 192,033 : x
  2. Step 2: Convert to fraction form
    128,526/192,033 = 192,033/x
  3. Step 3: Cross multiply
    128,526x = 192,033 × 192,033
  4. Step 4: Simplify right side
    128,526x = 36,876,673,089
  5. Step 5: Solve for x
    x = 36,876,673,089/128,526
  6. Step 6: Final answer
    x = 286,919.95

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Why These Related Problems?

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