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Finding the Third Proportional to 131,428 and 192,471

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Solution

The third proportional to 131,428 and 192,471 is: 281,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,428 : 192,471 = 192,471 : x
  2. Step 2: Convert to fraction form
    131,428/192,471 = 192,471/x
  3. Step 3: Cross multiply
    131,428x = 192,471 × 192,471
  4. Step 4: Simplify right side
    131,428x = 37,045,085,841
  5. Step 5: Solve for x
    x = 37,045,085,841/131,428
  6. Step 6: Final answer
    x = 281,866.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.