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Finding the Third Proportional to 63,126.50 and 138,129.75

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Solution

The third proportional to 63,126.50 and 138,129.75 is: 302,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,126.50 : 138,129.75 = 138,129.75 : x
  2. Step 2: Convert to fraction form
    63,126.50/138,129.75 = 138,129.75/x
  3. Step 3: Cross multiply
    63,126.50x = 138,129.75 × 138,129.75
  4. Step 4: Simplify right side
    63,126.50x = 19,079,827,835.06
  5. Step 5: Solve for x
    x = 19,079,827,835.06/63,126.50
  6. Step 6: Final answer
    x = 302,247.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.