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Finding the Third Proportional to 88,653 and 133,070.25

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Solution

The third proportional to 88,653 and 133,070.25 is: 199,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,653 : 133,070.25 = 133,070.25 : x
  2. Step 2: Convert to fraction form
    88,653/133,070.25 = 133,070.25/x
  3. Step 3: Cross multiply
    88,653x = 133,070.25 × 133,070.25
  4. Step 4: Simplify right side
    88,653x = 17,707,691,435.06
  5. Step 5: Solve for x
    x = 17,707,691,435.06/88,653
  6. Step 6: Final answer
    x = 199,741.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.