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Finding the Third Proportional to 65,827.69 and 139,498.88

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Solution

The third proportional to 65,827.69 and 139,498.88 is: 295,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.69 : 139,498.88 = 139,498.88 : x
  2. Step 2: Convert to fraction form
    65,827.69/139,498.88 = 139,498.88/x
  3. Step 3: Cross multiply
    65,827.69x = 139,498.88 × 139,498.88
  4. Step 4: Simplify right side
    65,827.69x = 19,459,936,126.27
  5. Step 5: Solve for x
    x = 19,459,936,126.27/65,827.69
  6. Step 6: Final answer
    x = 295,619.32

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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.