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Finding the Third Proportional to 110,655.50 and 167,653

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Solution

The third proportional to 110,655.50 and 167,653 is: 254,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,655.50 : 167,653 = 167,653 : x
  2. Step 2: Convert to fraction form
    110,655.50/167,653 = 167,653/x
  3. Step 3: Cross multiply
    110,655.50x = 167,653 × 167,653
  4. Step 4: Simplify right side
    110,655.50x = 28,107,528,409
  5. Step 5: Solve for x
    x = 28,107,528,409/110,655.50
  6. Step 6: Final answer
    x = 254,009.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.