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Finding the Third Proportional to 42,232.50 and 93,177

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Solution

The third proportional to 42,232.50 and 93,177 is: 205,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,232.50 : 93,177 = 93,177 : x
  2. Step 2: Convert to fraction form
    42,232.50/93,177 = 93,177/x
  3. Step 3: Cross multiply
    42,232.50x = 93,177 × 93,177
  4. Step 4: Simplify right side
    42,232.50x = 8,681,953,329
  5. Step 5: Solve for x
    x = 8,681,953,329/42,232.50
  6. Step 6: Final answer
    x = 205,575.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.