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Finding the Third Proportional to 45,002 and 97,774

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Solution

The third proportional to 45,002 and 97,774 is: 212,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,002 : 97,774 = 97,774 : x
  2. Step 2: Convert to fraction form
    45,002/97,774 = 97,774/x
  3. Step 3: Cross multiply
    45,002x = 97,774 × 97,774
  4. Step 4: Simplify right side
    45,002x = 9,559,755,076
  5. Step 5: Solve for x
    x = 9,559,755,076/45,002
  6. Step 6: Final answer
    x = 212,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.