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Finding the Third Proportional to 57,804 and 91,554

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Solution

The third proportional to 57,804 and 91,554 is: 145,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,804 : 91,554 = 91,554 : x
  2. Step 2: Convert to fraction form
    57,804/91,554 = 91,554/x
  3. Step 3: Cross multiply
    57,804x = 91,554 × 91,554
  4. Step 4: Simplify right side
    57,804x = 8,382,134,916
  5. Step 5: Solve for x
    x = 8,382,134,916/57,804
  6. Step 6: Final answer
    x = 145,009.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.