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Finding the Third Proportional to 69,151.50 and 97,368.75

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Solution

The third proportional to 69,151.50 and 97,368.75 is: 137,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,151.50 : 97,368.75 = 97,368.75 : x
  2. Step 2: Convert to fraction form
    69,151.50/97,368.75 = 97,368.75/x
  3. Step 3: Cross multiply
    69,151.50x = 97,368.75 × 97,368.75
  4. Step 4: Simplify right side
    69,151.50x = 9,480,673,476.56
  5. Step 5: Solve for x
    x = 9,480,673,476.56/69,151.50
  6. Step 6: Final answer
    x = 137,100.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.