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Finding the Third Proportional to 57,485 and 77,250

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Solution

The third proportional to 57,485 and 77,250 is: 103,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,485 : 77,250 = 77,250 : x
  2. Step 2: Convert to fraction form
    57,485/77,250 = 77,250/x
  3. Step 3: Cross multiply
    57,485x = 77,250 × 77,250
  4. Step 4: Simplify right side
    57,485x = 5,967,562,500
  5. Step 5: Solve for x
    x = 5,967,562,500/57,485
  6. Step 6: Final answer
    x = 103,810.78

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.