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Finding the Third Proportional to 65,329.03 and 138,508.10

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Solution

The third proportional to 65,329.03 and 138,508.10 is: 293,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,329.03 : 138,508.10 = 138,508.10 : x
  2. Step 2: Convert to fraction form
    65,329.03/138,508.10 = 138,508.10/x
  3. Step 3: Cross multiply
    65,329.03x = 138,508.10 × 138,508.10
  4. Step 4: Simplify right side
    65,329.03x = 19,184,494,198.45
  5. Step 5: Solve for x
    x = 19,184,494,198.45/65,329.03
  6. Step 6: Final answer
    x = 293,659.55

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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.