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Finding the Third Proportional to 40,725 and 88,409.50

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Solution

The third proportional to 40,725 and 88,409.50 is: 191,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,725 : 88,409.50 = 88,409.50 : x
  2. Step 2: Convert to fraction form
    40,725/88,409.50 = 88,409.50/x
  3. Step 3: Cross multiply
    40,725x = 88,409.50 × 88,409.50
  4. Step 4: Simplify right side
    40,725x = 7,816,239,690.25
  5. Step 5: Solve for x
    x = 7,816,239,690.25/40,725
  6. Step 6: Final answer
    x = 191,927.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.