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Finding the Third Proportional to 62,487 and 89,056

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Solution

The third proportional to 62,487 and 89,056 is: 126,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,487 : 89,056 = 89,056 : x
  2. Step 2: Convert to fraction form
    62,487/89,056 = 89,056/x
  3. Step 3: Cross multiply
    62,487x = 89,056 × 89,056
  4. Step 4: Simplify right side
    62,487x = 7,930,971,136
  5. Step 5: Solve for x
    x = 7,930,971,136/62,487
  6. Step 6: Final answer
    x = 126,921.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.