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Finding the Third Proportional to 56,146 and 121,301

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Solution

The third proportional to 56,146 and 121,301 is: 262,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,146 : 121,301 = 121,301 : x
  2. Step 2: Convert to fraction form
    56,146/121,301 = 121,301/x
  3. Step 3: Cross multiply
    56,146x = 121,301 × 121,301
  4. Step 4: Simplify right side
    56,146x = 14,713,932,601
  5. Step 5: Solve for x
    x = 14,713,932,601/56,146
  6. Step 6: Final answer
    x = 262,065.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.