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Finding the Third Proportional to 53,920.69 and 114,751.69

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Solution

The third proportional to 53,920.69 and 114,751.69 is: 244,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,920.69 : 114,751.69 = 114,751.69 : x
  2. Step 2: Convert to fraction form
    53,920.69/114,751.69 = 114,751.69/x
  3. Step 3: Cross multiply
    53,920.69x = 114,751.69 × 114,751.69
  4. Step 4: Simplify right side
    53,920.69x = 13,167,949,784.10
  5. Step 5: Solve for x
    x = 13,167,949,784.10/53,920.69
  6. Step 6: Final answer
    x = 244,209.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.