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Finding the Third Proportional to 77,527 and 167,446

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Solution

The third proportional to 77,527 and 167,446 is: 361,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,527 : 167,446 = 167,446 : x
  2. Step 2: Convert to fraction form
    77,527/167,446 = 167,446/x
  3. Step 3: Cross multiply
    77,527x = 167,446 × 167,446
  4. Step 4: Simplify right side
    77,527x = 28,038,162,916
  5. Step 5: Solve for x
    x = 28,038,162,916/77,527
  6. Step 6: Final answer
    x = 361,656.75

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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.