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Finding the Third Proportional to 104,032.50 and 152,344.50

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Solution

The third proportional to 104,032.50 and 152,344.50 is: 223,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,032.50 : 152,344.50 = 152,344.50 : x
  2. Step 2: Convert to fraction form
    104,032.50/152,344.50 = 152,344.50/x
  3. Step 3: Cross multiply
    104,032.50x = 152,344.50 × 152,344.50
  4. Step 4: Simplify right side
    104,032.50x = 23,208,846,680.25
  5. Step 5: Solve for x
    x = 23,208,846,680.25/104,032.50
  6. Step 6: Final answer
    x = 223,092.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.