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Finding the Third Proportional to 71,664 and 115,056

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Solution

The third proportional to 71,664 and 115,056 is: 184,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664 : 115,056 = 115,056 : x
  2. Step 2: Convert to fraction form
    71,664/115,056 = 115,056/x
  3. Step 3: Cross multiply
    71,664x = 115,056 × 115,056
  4. Step 4: Simplify right side
    71,664x = 13,237,883,136
  5. Step 5: Solve for x
    x = 13,237,883,136/71,664
  6. Step 6: Final answer
    x = 184,721.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.