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Finding the Third Proportional to 77,972.63 and 167,592.80

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Solution

The third proportional to 77,972.63 and 167,592.80 is: 360,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,972.63 : 167,592.80 = 167,592.80 : x
  2. Step 2: Convert to fraction form
    77,972.63/167,592.80 = 167,592.80/x
  3. Step 3: Cross multiply
    77,972.63x = 167,592.80 × 167,592.80
  4. Step 4: Simplify right side
    77,972.63x = 28,087,345,564.39
  5. Step 5: Solve for x
    x = 28,087,345,564.39/77,972.63
  6. Step 6: Final answer
    x = 360,220.60

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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.