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Finding the Third Proportional to 116,064 and 251,136

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Solution

The third proportional to 116,064 and 251,136 is: 543,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,064 : 251,136 = 251,136 : x
  2. Step 2: Convert to fraction form
    116,064/251,136 = 251,136/x
  3. Step 3: Cross multiply
    116,064x = 251,136 × 251,136
  4. Step 4: Simplify right side
    116,064x = 63,069,290,496
  5. Step 5: Solve for x
    x = 63,069,290,496/116,064
  6. Step 6: Final answer
    x = 543,400.97

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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.