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Finding the Third Proportional to 109,334 and 143,562

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Solution

The third proportional to 109,334 and 143,562 is: 188,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,334 : 143,562 = 143,562 : x
  2. Step 2: Convert to fraction form
    109,334/143,562 = 143,562/x
  3. Step 3: Cross multiply
    109,334x = 143,562 × 143,562
  4. Step 4: Simplify right side
    109,334x = 20,610,047,844
  5. Step 5: Solve for x
    x = 20,610,047,844/109,334
  6. Step 6: Final answer
    x = 188,505.39

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Why These Related Problems?

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