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Finding the Third Proportional to 69,023.50 and 97,873.50

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Solution

The third proportional to 69,023.50 and 97,873.50 is: 138,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,023.50 : 97,873.50 = 97,873.50 : x
  2. Step 2: Convert to fraction form
    69,023.50/97,873.50 = 97,873.50/x
  3. Step 3: Cross multiply
    69,023.50x = 97,873.50 × 97,873.50
  4. Step 4: Simplify right side
    69,023.50x = 9,579,222,002.25
  5. Step 5: Solve for x
    x = 9,579,222,002.25/69,023.50
  6. Step 6: Final answer
    x = 138,782.04

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.