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Finding the Third Proportional to 42,311 and 90,056

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Solution

The third proportional to 42,311 and 90,056 is: 191,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,311 : 90,056 = 90,056 : x
  2. Step 2: Convert to fraction form
    42,311/90,056 = 90,056/x
  3. Step 3: Cross multiply
    42,311x = 90,056 × 90,056
  4. Step 4: Simplify right side
    42,311x = 8,110,083,136
  5. Step 5: Solve for x
    x = 8,110,083,136/42,311
  6. Step 6: Final answer
    x = 191,677.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.