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Finding the Third Proportional to 107,952.75 and 235,558.13

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Solution

The third proportional to 107,952.75 and 235,558.13 is: 513,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,952.75 : 235,558.13 = 235,558.13 : x
  2. Step 2: Convert to fraction form
    107,952.75/235,558.13 = 235,558.13/x
  3. Step 3: Cross multiply
    107,952.75x = 235,558.13 × 235,558.13
  4. Step 4: Simplify right side
    107,952.75x = 55,487,630,253.52
  5. Step 5: Solve for x
    x = 55,487,630,253.52/107,952.75
  6. Step 6: Final answer
    x = 513,999.23

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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.