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Finding the Third Proportional to 53,257 and 114,814

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Solution

The third proportional to 53,257 and 114,814 is: 247,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257 : 114,814 = 114,814 : x
  2. Step 2: Convert to fraction form
    53,257/114,814 = 114,814/x
  3. Step 3: Cross multiply
    53,257x = 114,814 × 114,814
  4. Step 4: Simplify right side
    53,257x = 13,182,254,596
  5. Step 5: Solve for x
    x = 13,182,254,596/53,257
  6. Step 6: Final answer
    x = 247,521.54

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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.