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Finding the Third Proportional to 65,344 and 141,056

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Solution

The third proportional to 65,344 and 141,056 is: 304,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344 : 141,056 = 141,056 : x
  2. Step 2: Convert to fraction form
    65,344/141,056 = 141,056/x
  3. Step 3: Cross multiply
    65,344x = 141,056 × 141,056
  4. Step 4: Simplify right side
    65,344x = 19,896,795,136
  5. Step 5: Solve for x
    x = 19,896,795,136/65,344
  6. Step 6: Final answer
    x = 304,493.07

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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.