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Finding the Third Proportional to 56,356 and 131,713

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Solution

The third proportional to 56,356 and 131,713 is: 307,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,356 : 131,713 = 131,713 : x
  2. Step 2: Convert to fraction form
    56,356/131,713 = 131,713/x
  3. Step 3: Cross multiply
    56,356x = 131,713 × 131,713
  4. Step 4: Simplify right side
    56,356x = 17,348,314,369
  5. Step 5: Solve for x
    x = 17,348,314,369/56,356
  6. Step 6: Final answer
    x = 307,834.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.