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Finding the Third Proportional to 63,771.19 and 139,024.69

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Solution

The third proportional to 63,771.19 and 139,024.69 is: 303,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,771.19 : 139,024.69 = 139,024.69 : x
  2. Step 2: Convert to fraction form
    63,771.19/139,024.69 = 139,024.69/x
  3. Step 3: Cross multiply
    63,771.19x = 139,024.69 × 139,024.69
  4. Step 4: Simplify right side
    63,771.19x = 19,327,863,734.47
  5. Step 5: Solve for x
    x = 19,327,863,734.47/63,771.19
  6. Step 6: Final answer
    x = 303,081.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.