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Finding the Third Proportional to 68,870.25 and 146,012.63

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Solution

The third proportional to 68,870.25 and 146,012.63 is: 309,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,870.25 : 146,012.63 = 146,012.63 : x
  2. Step 2: Convert to fraction form
    68,870.25/146,012.63 = 146,012.63/x
  3. Step 3: Cross multiply
    68,870.25x = 146,012.63 × 146,012.63
  4. Step 4: Simplify right side
    68,870.25x = 21,319,686,659.39
  5. Step 5: Solve for x
    x = 21,319,686,659.39/68,870.25
  6. Step 6: Final answer
    x = 309,563.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.