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Finding the Third Proportional to 57,806 and 91,557

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Solution

The third proportional to 57,806 and 91,557 is: 145,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806 : 91,557 = 91,557 : x
  2. Step 2: Convert to fraction form
    57,806/91,557 = 91,557/x
  3. Step 3: Cross multiply
    57,806x = 91,557 × 91,557
  4. Step 4: Simplify right side
    57,806x = 8,382,684,249
  5. Step 5: Solve for x
    x = 8,382,684,249/57,806
  6. Step 6: Final answer
    x = 145,014.09

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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.