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Finding the Third Proportional to 70,049.25 and 152,005.50

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Solution

The third proportional to 70,049.25 and 152,005.50 is: 329,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,049.25 : 152,005.50 = 152,005.50 : x
  2. Step 2: Convert to fraction form
    70,049.25/152,005.50 = 152,005.50/x
  3. Step 3: Cross multiply
    70,049.25x = 152,005.50 × 152,005.50
  4. Step 4: Simplify right side
    70,049.25x = 23,105,672,030.25
  5. Step 5: Solve for x
    x = 23,105,672,030.25/70,049.25
  6. Step 6: Final answer
    x = 329,848.96

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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.