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Finding the Third Proportional to 88,173 and 133,054.50

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Solution

The third proportional to 88,173 and 133,054.50 is: 200,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,173 : 133,054.50 = 133,054.50 : x
  2. Step 2: Convert to fraction form
    88,173/133,054.50 = 133,054.50/x
  3. Step 3: Cross multiply
    88,173x = 133,054.50 × 133,054.50
  4. Step 4: Simplify right side
    88,173x = 17,703,499,970.25
  5. Step 5: Solve for x
    x = 17,703,499,970.25/88,173
  6. Step 6: Final answer
    x = 200,781.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.