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Finding the Third Proportional to 52,295.25 and 107,686.50

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Solution

The third proportional to 52,295.25 and 107,686.50 is: 221,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,295.25 : 107,686.50 = 107,686.50 : x
  2. Step 2: Convert to fraction form
    52,295.25/107,686.50 = 107,686.50/x
  3. Step 3: Cross multiply
    52,295.25x = 107,686.50 × 107,686.50
  4. Step 4: Simplify right side
    52,295.25x = 11,596,382,282.25
  5. Step 5: Solve for x
    x = 11,596,382,282.25/52,295.25
  6. Step 6: Final answer
    x = 221,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.