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Finding the Third Proportional to 57,325.25 and 82,569.75

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Solution

The third proportional to 57,325.25 and 82,569.75 is: 118,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,325.25 : 82,569.75 = 82,569.75 : x
  2. Step 2: Convert to fraction form
    57,325.25/82,569.75 = 82,569.75/x
  3. Step 3: Cross multiply
    57,325.25x = 82,569.75 × 82,569.75
  4. Step 4: Simplify right side
    57,325.25x = 6,817,763,615.06
  5. Step 5: Solve for x
    x = 6,817,763,615.06/57,325.25
  6. Step 6: Final answer
    x = 118,931.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.