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Finding the Third Proportional to 66,006 and 155,767.50

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Solution

The third proportional to 66,006 and 155,767.50 is: 367,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,006 : 155,767.50 = 155,767.50 : x
  2. Step 2: Convert to fraction form
    66,006/155,767.50 = 155,767.50/x
  3. Step 3: Cross multiply
    66,006x = 155,767.50 × 155,767.50
  4. Step 4: Simplify right side
    66,006x = 24,263,514,056.25
  5. Step 5: Solve for x
    x = 24,263,514,056.25/66,006
  6. Step 6: Final answer
    x = 367,595.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.