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Finding the Third Proportional to 53,803.62 and 117,836.02

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Solution

The third proportional to 53,803.62 and 117,836.02 is: 258,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803.62 : 117,836.02 = 117,836.02 : x
  2. Step 2: Convert to fraction form
    53,803.62/117,836.02 = 117,836.02/x
  3. Step 3: Cross multiply
    53,803.62x = 117,836.02 × 117,836.02
  4. Step 4: Simplify right side
    53,803.62x = 13,885,326,578.38
  5. Step 5: Solve for x
    x = 13,885,326,578.38/53,803.62
  6. Step 6: Final answer
    x = 258,074.22

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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.