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Finding the Third Proportional to 131,496 and 191,913

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Solution

The third proportional to 131,496 and 191,913 is: 280,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,496 : 191,913 = 191,913 : x
  2. Step 2: Convert to fraction form
    131,496/191,913 = 191,913/x
  3. Step 3: Cross multiply
    131,496x = 191,913 × 191,913
  4. Step 4: Simplify right side
    131,496x = 36,830,599,569
  5. Step 5: Solve for x
    x = 36,830,599,569/131,496
  6. Step 6: Final answer
    x = 280,089.12

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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.