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Finding the Third Proportional to 35,140 and 75,653

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Solution

The third proportional to 35,140 and 75,653 is: 162,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140 : 75,653 = 75,653 : x
  2. Step 2: Convert to fraction form
    35,140/75,653 = 75,653/x
  3. Step 3: Cross multiply
    35,140x = 75,653 × 75,653
  4. Step 4: Simplify right side
    35,140x = 5,723,376,409
  5. Step 5: Solve for x
    x = 5,723,376,409/35,140
  6. Step 6: Final answer
    x = 162,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.