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Finding the Third Proportional to 128,527 and 192,034

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Solution

The third proportional to 128,527 and 192,034 is: 286,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,527 : 192,034 = 192,034 : x
  2. Step 2: Convert to fraction form
    128,527/192,034 = 192,034/x
  3. Step 3: Cross multiply
    128,527x = 192,034 × 192,034
  4. Step 4: Simplify right side
    128,527x = 36,877,057,156
  5. Step 5: Solve for x
    x = 36,877,057,156/128,527
  6. Step 6: Final answer
    x = 286,920.70

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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.