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Finding the Third Proportional to 62,817.75 and 97,142.63

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Solution

The third proportional to 62,817.75 and 97,142.63 is: 150,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,817.75 : 97,142.63 = 97,142.63 : x
  2. Step 2: Convert to fraction form
    62,817.75/97,142.63 = 97,142.63/x
  3. Step 3: Cross multiply
    62,817.75x = 97,142.63 × 97,142.63
  4. Step 4: Simplify right side
    62,817.75x = 9,436,689,591.89
  5. Step 5: Solve for x
    x = 9,436,689,591.89/62,817.75
  6. Step 6: Final answer
    x = 150,223.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.