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Finding the Third Proportional to 65,949 and 97,693.50

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Solution

The third proportional to 65,949 and 97,693.50 is: 144,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,949 : 97,693.50 = 97,693.50 : x
  2. Step 2: Convert to fraction form
    65,949/97,693.50 = 97,693.50/x
  3. Step 3: Cross multiply
    65,949x = 97,693.50 × 97,693.50
  4. Step 4: Simplify right side
    65,949x = 9,544,019,942.25
  5. Step 5: Solve for x
    x = 9,544,019,942.25/65,949
  6. Step 6: Final answer
    x = 144,718.19

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.