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Finding the Third Proportional to 53,301 and 117,334

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Solution

The third proportional to 53,301 and 117,334 is: 258,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,301 : 117,334 = 117,334 : x
  2. Step 2: Convert to fraction form
    53,301/117,334 = 117,334/x
  3. Step 3: Cross multiply
    53,301x = 117,334 × 117,334
  4. Step 4: Simplify right side
    53,301x = 13,767,267,556
  5. Step 5: Solve for x
    x = 13,767,267,556/53,301
  6. Step 6: Final answer
    x = 258,292.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.