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Finding the Third Proportional to 53,146.13 and 116,659.13

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Solution

The third proportional to 53,146.13 and 116,659.13 is: 256,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,146.13 : 116,659.13 = 116,659.13 : x
  2. Step 2: Convert to fraction form
    53,146.13/116,659.13 = 116,659.13/x
  3. Step 3: Cross multiply
    53,146.13x = 116,659.13 × 116,659.13
  4. Step 4: Simplify right side
    53,146.13x = 13,609,351,445.77
  5. Step 5: Solve for x
    x = 13,609,351,445.77/53,146.13
  6. Step 6: Final answer
    x = 256,074.20

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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.