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Finding the Third Proportional to 109,317 and 143,536.50

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Solution

The third proportional to 109,317 and 143,536.50 is: 188,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,317 : 143,536.50 = 143,536.50 : x
  2. Step 2: Convert to fraction form
    109,317/143,536.50 = 143,536.50/x
  3. Step 3: Cross multiply
    109,317x = 143,536.50 × 143,536.50
  4. Step 4: Simplify right side
    109,317x = 20,602,726,832.25
  5. Step 5: Solve for x
    x = 20,602,726,832.25/109,317
  6. Step 6: Final answer
    x = 188,467.73

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.