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Finding the Third Proportional to 79,526 and 171,507

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Solution

The third proportional to 79,526 and 171,507 is: 369,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,526 : 171,507 = 171,507 : x
  2. Step 2: Convert to fraction form
    79,526/171,507 = 171,507/x
  3. Step 3: Cross multiply
    79,526x = 171,507 × 171,507
  4. Step 4: Simplify right side
    79,526x = 29,414,651,049
  5. Step 5: Solve for x
    x = 29,414,651,049/79,526
  6. Step 6: Final answer
    x = 369,874.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.