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Finding the Third Proportional to 31,053 and 67,507.50

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Solution

The third proportional to 31,053 and 67,507.50 is: 146,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053 : 67,507.50 = 67,507.50 : x
  2. Step 2: Convert to fraction form
    31,053/67,507.50 = 67,507.50/x
  3. Step 3: Cross multiply
    31,053x = 67,507.50 × 67,507.50
  4. Step 4: Simplify right side
    31,053x = 4,557,262,556.25
  5. Step 5: Solve for x
    x = 4,557,262,556.25/31,053
  6. Step 6: Final answer
    x = 146,757.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.