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Finding the Third Proportional to 105,660 and 232,056

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Solution

The third proportional to 105,660 and 232,056 is: 509,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660 : 232,056 = 232,056 : x
  2. Step 2: Convert to fraction form
    105,660/232,056 = 232,056/x
  3. Step 3: Cross multiply
    105,660x = 232,056 × 232,056
  4. Step 4: Simplify right side
    105,660x = 53,849,987,136
  5. Step 5: Solve for x
    x = 53,849,987,136/105,660
  6. Step 6: Final answer
    x = 509,653.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.