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Finding the Third Proportional to 74,106 and 114,919

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Solution

The third proportional to 74,106 and 114,919 is: 178,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,106 : 114,919 = 114,919 : x
  2. Step 2: Convert to fraction form
    74,106/114,919 = 114,919/x
  3. Step 3: Cross multiply
    74,106x = 114,919 × 114,919
  4. Step 4: Simplify right side
    74,106x = 13,206,376,561
  5. Step 5: Solve for x
    x = 13,206,376,561/74,106
  6. Step 6: Final answer
    x = 178,209.28

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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.