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Finding the Third Proportional to 70,100.50 and 152,032

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Solution

The third proportional to 70,100.50 and 152,032 is: 329,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,100.50 : 152,032 = 152,032 : x
  2. Step 2: Convert to fraction form
    70,100.50/152,032 = 152,032/x
  3. Step 3: Cross multiply
    70,100.50x = 152,032 × 152,032
  4. Step 4: Simplify right side
    70,100.50x = 23,113,729,024
  5. Step 5: Solve for x
    x = 23,113,729,024/70,100.50
  6. Step 6: Final answer
    x = 329,722.74

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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.