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Finding the Third Proportional to 59,555.25 and 125,246.25

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Solution

The third proportional to 59,555.25 and 125,246.25 is: 263,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,555.25 : 125,246.25 = 125,246.25 : x
  2. Step 2: Convert to fraction form
    59,555.25/125,246.25 = 125,246.25/x
  3. Step 3: Cross multiply
    59,555.25x = 125,246.25 × 125,246.25
  4. Step 4: Simplify right side
    59,555.25x = 15,686,623,139.06
  5. Step 5: Solve for x
    x = 15,686,623,139.06/59,555.25
  6. Step 6: Final answer
    x = 263,396.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.