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Finding the Third Proportional to 56,119 and 124,693

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Solution

The third proportional to 56,119 and 124,693 is: 277,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,119 : 124,693 = 124,693 : x
  2. Step 2: Convert to fraction form
    56,119/124,693 = 124,693/x
  3. Step 3: Cross multiply
    56,119x = 124,693 × 124,693
  4. Step 4: Simplify right side
    56,119x = 15,548,344,249
  5. Step 5: Solve for x
    x = 15,548,344,249/56,119
  6. Step 6: Final answer
    x = 277,060.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.