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Finding the Third Proportional to 74,144.94 and 114,903.88

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Solution

The third proportional to 74,144.94 and 114,903.88 is: 178,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,144.94 : 114,903.88 = 114,903.88 : x
  2. Step 2: Convert to fraction form
    74,144.94/114,903.88 = 114,903.88/x
  3. Step 3: Cross multiply
    74,144.94x = 114,903.88 × 114,903.88
  4. Step 4: Simplify right side
    74,144.94x = 13,202,900,490.02
  5. Step 5: Solve for x
    x = 13,202,900,490.02/74,144.94
  6. Step 6: Final answer
    x = 178,068.81

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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.