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Finding the Third Proportional to 45,469 and 97,254

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Solution

The third proportional to 45,469 and 97,254 is: 208,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,469 : 97,254 = 97,254 : x
  2. Step 2: Convert to fraction form
    45,469/97,254 = 97,254/x
  3. Step 3: Cross multiply
    45,469x = 97,254 × 97,254
  4. Step 4: Simplify right side
    45,469x = 9,458,340,516
  5. Step 5: Solve for x
    x = 9,458,340,516/45,469
  6. Step 6: Final answer
    x = 208,017.34

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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.