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Finding the Third Proportional to 74,261.91 and 159,719.06

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Solution

The third proportional to 74,261.91 and 159,719.06 is: 343,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,261.91 : 159,719.06 = 159,719.06 : x
  2. Step 2: Convert to fraction form
    74,261.91/159,719.06 = 159,719.06/x
  3. Step 3: Cross multiply
    74,261.91x = 159,719.06 × 159,719.06
  4. Step 4: Simplify right side
    74,261.91x = 25,510,178,925.88
  5. Step 5: Solve for x
    x = 25,510,178,925.88/74,261.91
  6. Step 6: Final answer
    x = 343,516.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.