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Finding the Third Proportional to 74,304.84 and 115,102.27

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Solution

The third proportional to 74,304.84 and 115,102.27 is: 178,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,304.84 : 115,102.27 = 115,102.27 : x
  2. Step 2: Convert to fraction form
    74,304.84/115,102.27 = 115,102.27/x
  3. Step 3: Cross multiply
    74,304.84x = 115,102.27 × 115,102.27
  4. Step 4: Simplify right side
    74,304.84x = 13,248,531,552.01
  5. Step 5: Solve for x
    x = 13,248,531,552.01/74,304.84
  6. Step 6: Final answer
    x = 178,299.70

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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.