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Finding the Third Proportional to 59,791.50 and 93,804

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Solution

The third proportional to 59,791.50 and 93,804 is: 147,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,791.50 : 93,804 = 93,804 : x
  2. Step 2: Convert to fraction form
    59,791.50/93,804 = 93,804/x
  3. Step 3: Cross multiply
    59,791.50x = 93,804 × 93,804
  4. Step 4: Simplify right side
    59,791.50x = 8,799,190,416
  5. Step 5: Solve for x
    x = 8,799,190,416/59,791.50
  6. Step 6: Final answer
    x = 147,164.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.