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Finding the Third Proportional to 65,427.75 and 98,688.38

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Solution

The third proportional to 65,427.75 and 98,688.38 is: 148,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427.75 : 98,688.38 = 98,688.38 : x
  2. Step 2: Convert to fraction form
    65,427.75/98,688.38 = 98,688.38/x
  3. Step 3: Cross multiply
    65,427.75x = 98,688.38 × 98,688.38
  4. Step 4: Simplify right side
    65,427.75x = 9,739,395,360.14
  5. Step 5: Solve for x
    x = 9,739,395,360.14/65,427.75
  6. Step 6: Final answer
    x = 148,857.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.