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Finding the Third Proportional to 72,503 and 102,102

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Solution

The third proportional to 72,503 and 102,102 is: 143,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,503 : 102,102 = 102,102 : x
  2. Step 2: Convert to fraction form
    72,503/102,102 = 102,102/x
  3. Step 3: Cross multiply
    72,503x = 102,102 × 102,102
  4. Step 4: Simplify right side
    72,503x = 10,424,818,404
  5. Step 5: Solve for x
    x = 10,424,818,404/72,503
  6. Step 6: Final answer
    x = 143,784.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.