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Finding the Third Proportional to 77,564 and 167,506

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Solution

The third proportional to 77,564 and 167,506 is: 361,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,564 : 167,506 = 167,506 : x
  2. Step 2: Convert to fraction form
    77,564/167,506 = 167,506/x
  3. Step 3: Cross multiply
    77,564x = 167,506 × 167,506
  4. Step 4: Simplify right side
    77,564x = 28,058,260,036
  5. Step 5: Solve for x
    x = 28,058,260,036/77,564
  6. Step 6: Final answer
    x = 361,743.34

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