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Finding the Third Proportional to 73,199 and 99,430

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Solution

The third proportional to 73,199 and 99,430 is: 135,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,199 : 99,430 = 99,430 : x
  2. Step 2: Convert to fraction form
    73,199/99,430 = 99,430/x
  3. Step 3: Cross multiply
    73,199x = 99,430 × 99,430
  4. Step 4: Simplify right side
    73,199x = 9,886,324,900
  5. Step 5: Solve for x
    x = 9,886,324,900/73,199
  6. Step 6: Final answer
    x = 135,060.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.