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Finding the Third Proportional to 86,956 and 124,014

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Solution

The third proportional to 86,956 and 124,014 is: 176,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,956 : 124,014 = 124,014 : x
  2. Step 2: Convert to fraction form
    86,956/124,014 = 124,014/x
  3. Step 3: Cross multiply
    86,956x = 124,014 × 124,014
  4. Step 4: Simplify right side
    86,956x = 15,379,472,196
  5. Step 5: Solve for x
    x = 15,379,472,196/86,956
  6. Step 6: Final answer
    x = 176,864.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.