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Finding the Third Proportional to 56,018 and 121,054

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Solution

The third proportional to 56,018 and 121,054 is: 261,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,018 : 121,054 = 121,054 : x
  2. Step 2: Convert to fraction form
    56,018/121,054 = 121,054/x
  3. Step 3: Cross multiply
    56,018x = 121,054 × 121,054
  4. Step 4: Simplify right side
    56,018x = 14,654,070,916
  5. Step 5: Solve for x
    x = 14,654,070,916/56,018
  6. Step 6: Final answer
    x = 261,595.75

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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.