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Finding the Third Proportional to 57,840 and 84,937

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Solution

The third proportional to 57,840 and 84,937 is: 124,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,840 : 84,937 = 84,937 : x
  2. Step 2: Convert to fraction form
    57,840/84,937 = 84,937/x
  3. Step 3: Cross multiply
    57,840x = 84,937 × 84,937
  4. Step 4: Simplify right side
    57,840x = 7,214,293,969
  5. Step 5: Solve for x
    x = 7,214,293,969/57,840
  6. Step 6: Final answer
    x = 124,728.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.