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Finding the Third Proportional to 107,037.56 and 235,262.25

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Solution

The third proportional to 107,037.56 and 235,262.25 is: 517,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,037.56 : 235,262.25 = 235,262.25 : x
  2. Step 2: Convert to fraction form
    107,037.56/235,262.25 = 235,262.25/x
  3. Step 3: Cross multiply
    107,037.56x = 235,262.25 × 235,262.25
  4. Step 4: Simplify right side
    107,037.56x = 55,348,326,275.06
  5. Step 5: Solve for x
    x = 55,348,326,275.06/107,037.56
  6. Step 6: Final answer
    x = 517,092.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.