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Finding the Third Proportional to 45,396 and 97,110

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Solution

The third proportional to 45,396 and 97,110 is: 207,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,396 : 97,110 = 97,110 : x
  2. Step 2: Convert to fraction form
    45,396/97,110 = 97,110/x
  3. Step 3: Cross multiply
    45,396x = 97,110 × 97,110
  4. Step 4: Simplify right side
    45,396x = 9,430,352,100
  5. Step 5: Solve for x
    x = 9,430,352,100/45,396
  6. Step 6: Final answer
    x = 207,735.31

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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.