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Finding the Third Proportional to 53,100 and 116,397

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Solution

The third proportional to 53,100 and 116,397 is: 255,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,100 : 116,397 = 116,397 : x
  2. Step 2: Convert to fraction form
    53,100/116,397 = 116,397/x
  3. Step 3: Cross multiply
    53,100x = 116,397 × 116,397
  4. Step 4: Simplify right side
    53,100x = 13,548,261,609
  5. Step 5: Solve for x
    x = 13,548,261,609/53,100
  6. Step 6: Final answer
    x = 255,146.17

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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.