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Finding the Third Proportional to 65,110.50 and 97,868.25

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Solution

The third proportional to 65,110.50 and 97,868.25 is: 147,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110.50 : 97,868.25 = 97,868.25 : x
  2. Step 2: Convert to fraction form
    65,110.50/97,868.25 = 97,868.25/x
  3. Step 3: Cross multiply
    65,110.50x = 97,868.25 × 97,868.25
  4. Step 4: Simplify right side
    65,110.50x = 9,578,194,358.06
  5. Step 5: Solve for x
    x = 9,578,194,358.06/65,110.50
  6. Step 6: Final answer
    x = 147,106.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.