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Finding the Third Proportional to 138,559.50 and 202,904.25

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Solution

The third proportional to 138,559.50 and 202,904.25 is: 297,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,559.50 : 202,904.25 = 202,904.25 : x
  2. Step 2: Convert to fraction form
    138,559.50/202,904.25 = 202,904.25/x
  3. Step 3: Cross multiply
    138,559.50x = 202,904.25 × 202,904.25
  4. Step 4: Simplify right side
    138,559.50x = 41,170,134,668.06
  5. Step 5: Solve for x
    x = 41,170,134,668.06/138,559.50
  6. Step 6: Final answer
    x = 297,129.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.