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Finding the Third Proportional to 64,156 and 154,558

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Solution

The third proportional to 64,156 and 154,558 is: 372,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,156 : 154,558 = 154,558 : x
  2. Step 2: Convert to fraction form
    64,156/154,558 = 154,558/x
  3. Step 3: Cross multiply
    64,156x = 154,558 × 154,558
  4. Step 4: Simplify right side
    64,156x = 23,888,175,364
  5. Step 5: Solve for x
    x = 23,888,175,364/64,156
  6. Step 6: Final answer
    x = 372,345.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.