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Finding the Third Proportional to 53,802 and 117,436

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Solution

The third proportional to 53,802 and 117,436 is: 256,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802 : 117,436 = 117,436 : x
  2. Step 2: Convert to fraction form
    53,802/117,436 = 117,436/x
  3. Step 3: Cross multiply
    53,802x = 117,436 × 117,436
  4. Step 4: Simplify right side
    53,802x = 13,791,214,096
  5. Step 5: Solve for x
    x = 13,791,214,096/53,802
  6. Step 6: Final answer
    x = 256,332.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.