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Finding the Third Proportional to 74,211.19 and 114,994.69

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Solution

The third proportional to 74,211.19 and 114,994.69 is: 178,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,211.19 : 114,994.69 = 114,994.69 : x
  2. Step 2: Convert to fraction form
    74,211.19/114,994.69 = 114,994.69/x
  3. Step 3: Cross multiply
    74,211.19x = 114,994.69 × 114,994.69
  4. Step 4: Simplify right side
    74,211.19x = 13,223,778,153.22
  5. Step 5: Solve for x
    x = 13,223,778,153.22/74,211.19
  6. Step 6: Final answer
    x = 178,191.17

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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.