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Finding the Third Proportional to 65,800.31 and 98,261.06

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Solution

The third proportional to 65,800.31 and 98,261.06 is: 146,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,800.31 : 98,261.06 = 98,261.06 : x
  2. Step 2: Convert to fraction form
    65,800.31/98,261.06 = 98,261.06/x
  3. Step 3: Cross multiply
    65,800.31x = 98,261.06 × 98,261.06
  4. Step 4: Simplify right side
    65,800.31x = 9,655,236,403.63
  5. Step 5: Solve for x
    x = 9,655,236,403.63/65,800.31
  6. Step 6: Final answer
    x = 146,735.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.