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Finding the Third Proportional to 43,596 and 97,062

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Solution

The third proportional to 43,596 and 97,062 is: 216,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,596 : 97,062 = 97,062 : x
  2. Step 2: Convert to fraction form
    43,596/97,062 = 97,062/x
  3. Step 3: Cross multiply
    43,596x = 97,062 × 97,062
  4. Step 4: Simplify right side
    43,596x = 9,421,031,844
  5. Step 5: Solve for x
    x = 9,421,031,844/43,596
  6. Step 6: Final answer
    x = 216,098.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.