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Finding the Third Proportional to 66,009.88 and 155,672.13

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Solution

The third proportional to 66,009.88 and 155,672.13 is: 367,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,009.88 : 155,672.13 = 155,672.13 : x
  2. Step 2: Convert to fraction form
    66,009.88/155,672.13 = 155,672.13/x
  3. Step 3: Cross multiply
    66,009.88x = 155,672.13 × 155,672.13
  4. Step 4: Simplify right side
    66,009.88x = 24,233,810,502.02
  5. Step 5: Solve for x
    x = 24,233,810,502.02/66,009.88
  6. Step 6: Final answer
    x = 367,124.02

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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.