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Finding the Third Proportional to 45,122.06 and 71,510.34

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Solution

The third proportional to 45,122.06 and 71,510.34 is: 113,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,122.06 : 71,510.34 = 71,510.34 : x
  2. Step 2: Convert to fraction form
    45,122.06/71,510.34 = 71,510.34/x
  3. Step 3: Cross multiply
    45,122.06x = 71,510.34 × 71,510.34
  4. Step 4: Simplify right side
    45,122.06x = 5,113,729,263.24
  5. Step 5: Solve for x
    x = 5,113,729,263.24/45,122.06
  6. Step 6: Final answer
    x = 113,331.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.