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Finding the Third Proportional to 42,885.75 and 94,497

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Solution

The third proportional to 42,885.75 and 94,497 is: 208,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,885.75 : 94,497 = 94,497 : x
  2. Step 2: Convert to fraction form
    42,885.75/94,497 = 94,497/x
  3. Step 3: Cross multiply
    42,885.75x = 94,497 × 94,497
  4. Step 4: Simplify right side
    42,885.75x = 8,929,683,009
  5. Step 5: Solve for x
    x = 8,929,683,009/42,885.75
  6. Step 6: Final answer
    x = 208,220.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.