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Finding the Third Proportional to 65,680.13 and 104,018.06

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Solution

The third proportional to 65,680.13 and 104,018.06 is: 164,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,680.13 : 104,018.06 = 104,018.06 : x
  2. Step 2: Convert to fraction form
    65,680.13/104,018.06 = 104,018.06/x
  3. Step 3: Cross multiply
    65,680.13x = 104,018.06 × 104,018.06
  4. Step 4: Simplify right side
    65,680.13x = 10,819,757,326.25
  5. Step 5: Solve for x
    x = 10,819,757,326.25/65,680.13
  6. Step 6: Final answer
    x = 164,734.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.