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Finding the Third Proportional to 113,663 and 165,497

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Solution

The third proportional to 113,663 and 165,497 is: 240,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,663 : 165,497 = 165,497 : x
  2. Step 2: Convert to fraction form
    113,663/165,497 = 165,497/x
  3. Step 3: Cross multiply
    113,663x = 165,497 × 165,497
  4. Step 4: Simplify right side
    113,663x = 27,389,257,009
  5. Step 5: Solve for x
    x = 27,389,257,009/113,663
  6. Step 6: Final answer
    x = 240,968.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.