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Finding the Third Proportional to 101,695.50 and 116,457.75

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Solution

The third proportional to 101,695.50 and 116,457.75 is: 133,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.50 : 116,457.75 = 116,457.75 : x
  2. Step 2: Convert to fraction form
    101,695.50/116,457.75 = 116,457.75/x
  3. Step 3: Cross multiply
    101,695.50x = 116,457.75 × 116,457.75
  4. Step 4: Simplify right side
    101,695.50x = 13,562,407,535.06
  5. Step 5: Solve for x
    x = 13,562,407,535.06/101,695.50
  6. Step 6: Final answer
    x = 133,362.91

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.