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Finding the Third Proportional to 65,009.13 and 103,150.88

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Solution

The third proportional to 65,009.13 and 103,150.88 is: 163,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.13 : 103,150.88 = 103,150.88 : x
  2. Step 2: Convert to fraction form
    65,009.13/103,150.88 = 103,150.88/x
  3. Step 3: Cross multiply
    65,009.13x = 103,150.88 × 103,150.88
  4. Step 4: Simplify right side
    65,009.13x = 10,640,103,013.27
  5. Step 5: Solve for x
    x = 10,640,103,013.27/65,009.13
  6. Step 6: Final answer
    x = 163,670.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.