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Finding the Third Proportional to 72,484 and 102,073

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Solution

The third proportional to 72,484 and 102,073 is: 143,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,484 : 102,073 = 102,073 : x
  2. Step 2: Convert to fraction form
    72,484/102,073 = 102,073/x
  3. Step 3: Cross multiply
    72,484x = 102,073 × 102,073
  4. Step 4: Simplify right side
    72,484x = 10,418,897,329
  5. Step 5: Solve for x
    x = 10,418,897,329/72,484
  6. Step 6: Final answer
    x = 143,740.65

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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.