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Finding the Third Proportional to 65,610 and 101,786.63

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Solution

The third proportional to 65,610 and 101,786.63 is: 157,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,610 : 101,786.63 = 101,786.63 : x
  2. Step 2: Convert to fraction form
    65,610/101,786.63 = 101,786.63/x
  3. Step 3: Cross multiply
    65,610x = 101,786.63 × 101,786.63
  4. Step 4: Simplify right side
    65,610x = 10,360,517,028.89
  5. Step 5: Solve for x
    x = 10,360,517,028.89/65,610
  6. Step 6: Final answer
    x = 157,910.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.