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Finding the Third Proportional to 70,228 and 114,092.50

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Solution

The third proportional to 70,228 and 114,092.50 is: 185,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,228 : 114,092.50 = 114,092.50 : x
  2. Step 2: Convert to fraction form
    70,228/114,092.50 = 114,092.50/x
  3. Step 3: Cross multiply
    70,228x = 114,092.50 × 114,092.50
  4. Step 4: Simplify right side
    70,228x = 13,017,098,556.25
  5. Step 5: Solve for x
    x = 13,017,098,556.25/70,228
  6. Step 6: Final answer
    x = 185,354.82

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.