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Finding the Third Proportional to 97,644 and 148,107

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Solution

The third proportional to 97,644 and 148,107 is: 224,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,644 : 148,107 = 148,107 : x
  2. Step 2: Convert to fraction form
    97,644/148,107 = 148,107/x
  3. Step 3: Cross multiply
    97,644x = 148,107 × 148,107
  4. Step 4: Simplify right side
    97,644x = 21,935,683,449
  5. Step 5: Solve for x
    x = 21,935,683,449/97,644
  6. Step 6: Final answer
    x = 224,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.