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Finding the Third Proportional to 106,182 and 232,056

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Solution

The third proportional to 106,182 and 232,056 is: 507,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,182 : 232,056 = 232,056 : x
  2. Step 2: Convert to fraction form
    106,182/232,056 = 232,056/x
  3. Step 3: Cross multiply
    106,182x = 232,056 × 232,056
  4. Step 4: Simplify right side
    106,182x = 53,849,987,136
  5. Step 5: Solve for x
    x = 53,849,987,136/106,182
  6. Step 6: Final answer
    x = 507,147.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.