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Finding the Third Proportional to 56,031 and 121,396

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Solution

The third proportional to 56,031 and 121,396 is: 263,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,031 : 121,396 = 121,396 : x
  2. Step 2: Convert to fraction form
    56,031/121,396 = 121,396/x
  3. Step 3: Cross multiply
    56,031x = 121,396 × 121,396
  4. Step 4: Simplify right side
    56,031x = 14,736,988,816
  5. Step 5: Solve for x
    x = 14,736,988,816/56,031
  6. Step 6: Final answer
    x = 263,014.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.