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Finding the Third Proportional to 123,433 and 165,465

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Solution

The third proportional to 123,433 and 165,465 is: 221,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,433 : 165,465 = 165,465 : x
  2. Step 2: Convert to fraction form
    123,433/165,465 = 165,465/x
  3. Step 3: Cross multiply
    123,433x = 165,465 × 165,465
  4. Step 4: Simplify right side
    123,433x = 27,378,666,225
  5. Step 5: Solve for x
    x = 27,378,666,225/123,433
  6. Step 6: Final answer
    x = 221,809.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.