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Finding the Third Proportional to 70,054.45 and 152,015.91

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Solution

The third proportional to 70,054.45 and 152,015.91 is: 329,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,054.45 : 152,015.91 = 152,015.91 : x
  2. Step 2: Convert to fraction form
    70,054.45/152,015.91 = 152,015.91/x
  3. Step 3: Cross multiply
    70,054.45x = 152,015.91 × 152,015.91
  4. Step 4: Simplify right side
    70,054.45x = 23,108,835,753.01
  5. Step 5: Solve for x
    x = 23,108,835,753.01/70,054.45
  6. Step 6: Final answer
    x = 329,869.62

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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.