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Finding the Third Proportional to 86,148 and 133,056

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Solution

The third proportional to 86,148 and 133,056 is: 205,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,148 : 133,056 = 133,056 : x
  2. Step 2: Convert to fraction form
    86,148/133,056 = 133,056/x
  3. Step 3: Cross multiply
    86,148x = 133,056 × 133,056
  4. Step 4: Simplify right side
    86,148x = 17,703,899,136
  5. Step 5: Solve for x
    x = 17,703,899,136/86,148
  6. Step 6: Final answer
    x = 205,505.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.