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Finding the Third Proportional to 75,612 and 163,036

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Solution

The third proportional to 75,612 and 163,036 is: 351,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,612 : 163,036 = 163,036 : x
  2. Step 2: Convert to fraction form
    75,612/163,036 = 163,036/x
  3. Step 3: Cross multiply
    75,612x = 163,036 × 163,036
  4. Step 4: Simplify right side
    75,612x = 26,580,737,296
  5. Step 5: Solve for x
    x = 26,580,737,296/75,612
  6. Step 6: Final answer
    x = 351,541.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.