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Finding the Third Proportional to 64,136 and 94,256

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Solution

The third proportional to 64,136 and 94,256 is: 138,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,136 : 94,256 = 94,256 : x
  2. Step 2: Convert to fraction form
    64,136/94,256 = 94,256/x
  3. Step 3: Cross multiply
    64,136x = 94,256 × 94,256
  4. Step 4: Simplify right side
    64,136x = 8,884,193,536
  5. Step 5: Solve for x
    x = 8,884,193,536/64,136
  6. Step 6: Final answer
    x = 138,521.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.