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Finding the Third Proportional to 42,056 and 90,672

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Solution

The third proportional to 42,056 and 90,672 is: 195,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,056 : 90,672 = 90,672 : x
  2. Step 2: Convert to fraction form
    42,056/90,672 = 90,672/x
  3. Step 3: Cross multiply
    42,056x = 90,672 × 90,672
  4. Step 4: Simplify right side
    42,056x = 8,221,411,584
  5. Step 5: Solve for x
    x = 8,221,411,584/42,056
  6. Step 6: Final answer
    x = 195,487.25

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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.