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Finding the Third Proportional to 77,572 and 167,017

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Solution

The third proportional to 77,572 and 167,017 is: 359,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572 : 167,017 = 167,017 : x
  2. Step 2: Convert to fraction form
    77,572/167,017 = 167,017/x
  3. Step 3: Cross multiply
    77,572x = 167,017 × 167,017
  4. Step 4: Simplify right side
    77,572x = 27,894,678,289
  5. Step 5: Solve for x
    x = 27,894,678,289/77,572
  6. Step 6: Final answer
    x = 359,597.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.