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Finding the Third Proportional to 45,456 and 97,229

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Solution

The third proportional to 45,456 and 97,229 is: 207,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456 : 97,229 = 97,229 : x
  2. Step 2: Convert to fraction form
    45,456/97,229 = 97,229/x
  3. Step 3: Cross multiply
    45,456x = 97,229 × 97,229
  4. Step 4: Simplify right side
    45,456x = 9,453,478,441
  5. Step 5: Solve for x
    x = 9,453,478,441/45,456
  6. Step 6: Final answer
    x = 207,969.87

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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.