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Finding the Third Proportional to 44,765 and 97,521

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Solution

The third proportional to 44,765 and 97,521 is: 212,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,765 : 97,521 = 97,521 : x
  2. Step 2: Convert to fraction form
    44,765/97,521 = 97,521/x
  3. Step 3: Cross multiply
    44,765x = 97,521 × 97,521
  4. Step 4: Simplify right side
    44,765x = 9,510,345,441
  5. Step 5: Solve for x
    x = 9,510,345,441/44,765
  6. Step 6: Final answer
    x = 212,450.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.