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Finding the Third Proportional to 77,432.50 and 169,625

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Solution

The third proportional to 77,432.50 and 169,625 is: 371,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,432.50 : 169,625 = 169,625 : x
  2. Step 2: Convert to fraction form
    77,432.50/169,625 = 169,625/x
  3. Step 3: Cross multiply
    77,432.50x = 169,625 × 169,625
  4. Step 4: Simplify right side
    77,432.50x = 28,772,640,625
  5. Step 5: Solve for x
    x = 28,772,640,625/77,432.50
  6. Step 6: Final answer
    x = 371,583.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.