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Finding the Third Proportional to 53,063 and 116,331

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Solution

The third proportional to 53,063 and 116,331 is: 255,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,063 : 116,331 = 116,331 : x
  2. Step 2: Convert to fraction form
    53,063/116,331 = 116,331/x
  3. Step 3: Cross multiply
    53,063x = 116,331 × 116,331
  4. Step 4: Simplify right side
    53,063x = 13,532,901,561
  5. Step 5: Solve for x
    x = 13,532,901,561/53,063
  6. Step 6: Final answer
    x = 255,034.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.