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Finding the Third Proportional to 88,924 and 135,643.50

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Solution

The third proportional to 88,924 and 135,643.50 is: 206,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,924 : 135,643.50 = 135,643.50 : x
  2. Step 2: Convert to fraction form
    88,924/135,643.50 = 135,643.50/x
  3. Step 3: Cross multiply
    88,924x = 135,643.50 × 135,643.50
  4. Step 4: Simplify right side
    88,924x = 18,399,159,092.25
  5. Step 5: Solve for x
    x = 18,399,159,092.25/88,924
  6. Step 6: Final answer
    x = 206,908.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.