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Finding the Third Proportional to 53,814.38 and 117,316.69

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Solution

The third proportional to 53,814.38 and 117,316.69 is: 255,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814.38 : 117,316.69 = 117,316.69 : x
  2. Step 2: Convert to fraction form
    53,814.38/117,316.69 = 117,316.69/x
  3. Step 3: Cross multiply
    53,814.38x = 117,316.69 × 117,316.69
  4. Step 4: Simplify right side
    53,814.38x = 13,763,205,165.97
  5. Step 5: Solve for x
    x = 13,763,205,165.97/53,814.38
  6. Step 6: Final answer
    x = 255,753.32

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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.