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Finding the Third Proportional to 72,073 and 114,522

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Solution

The third proportional to 72,073 and 114,522 is: 181,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,073 : 114,522 = 114,522 : x
  2. Step 2: Convert to fraction form
    72,073/114,522 = 114,522/x
  3. Step 3: Cross multiply
    72,073x = 114,522 × 114,522
  4. Step 4: Simplify right side
    72,073x = 13,115,288,484
  5. Step 5: Solve for x
    x = 13,115,288,484/72,073
  6. Step 6: Final answer
    x = 181,972.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.