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Finding the Third Proportional to 89,088 and 211,056

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Solution

The third proportional to 89,088 and 211,056 is: 500,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,088 : 211,056 = 211,056 : x
  2. Step 2: Convert to fraction form
    89,088/211,056 = 211,056/x
  3. Step 3: Cross multiply
    89,088x = 211,056 × 211,056
  4. Step 4: Simplify right side
    89,088x = 44,544,635,136
  5. Step 5: Solve for x
    x = 44,544,635,136/89,088
  6. Step 6: Final answer
    x = 500,007.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.