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Finding the Third Proportional to 35,612 and 75,988

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Solution

The third proportional to 35,612 and 75,988 is: 162,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612 : 75,988 = 75,988 : x
  2. Step 2: Convert to fraction form
    35,612/75,988 = 75,988/x
  3. Step 3: Cross multiply
    35,612x = 75,988 × 75,988
  4. Step 4: Simplify right side
    35,612x = 5,774,176,144
  5. Step 5: Solve for x
    x = 5,774,176,144/35,612
  6. Step 6: Final answer
    x = 162,141.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.