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Finding the Third Proportional to 45,003 and 96,521

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Solution

The third proportional to 45,003 and 96,521 is: 207,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,003 : 96,521 = 96,521 : x
  2. Step 2: Convert to fraction form
    45,003/96,521 = 96,521/x
  3. Step 3: Cross multiply
    45,003x = 96,521 × 96,521
  4. Step 4: Simplify right side
    45,003x = 9,316,303,441
  5. Step 5: Solve for x
    x = 9,316,303,441/45,003
  6. Step 6: Final answer
    x = 207,015.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.