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Finding the Third Proportional to 32,136 and 69,471

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Solution

The third proportional to 32,136 and 69,471 is: 150,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136 : 69,471 = 69,471 : x
  2. Step 2: Convert to fraction form
    32,136/69,471 = 69,471/x
  3. Step 3: Cross multiply
    32,136x = 69,471 × 69,471
  4. Step 4: Simplify right side
    32,136x = 4,826,219,841
  5. Step 5: Solve for x
    x = 4,826,219,841/32,136
  6. Step 6: Final answer
    x = 150,181.10

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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.