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Finding the Third Proportional to 69,463.13 and 105,693.75

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Solution

The third proportional to 69,463.13 and 105,693.75 is: 160,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,463.13 : 105,693.75 = 105,693.75 : x
  2. Step 2: Convert to fraction form
    69,463.13/105,693.75 = 105,693.75/x
  3. Step 3: Cross multiply
    69,463.13x = 105,693.75 × 105,693.75
  4. Step 4: Simplify right side
    69,463.13x = 11,171,168,789.06
  5. Step 5: Solve for x
    x = 11,171,168,789.06/69,463.13
  6. Step 6: Final answer
    x = 160,821.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.