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Finding the Third Proportional to 71,101.50 and 153,606

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Solution

The third proportional to 71,101.50 and 153,606 is: 331,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,101.50 : 153,606 = 153,606 : x
  2. Step 2: Convert to fraction form
    71,101.50/153,606 = 153,606/x
  3. Step 3: Cross multiply
    71,101.50x = 153,606 × 153,606
  4. Step 4: Simplify right side
    71,101.50x = 23,594,803,236
  5. Step 5: Solve for x
    x = 23,594,803,236/71,101.50
  6. Step 6: Final answer
    x = 331,846.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.