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Finding the Third Proportional to 83,172.45 and 130,303.05

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Solution

The third proportional to 83,172.45 and 130,303.05 is: 204,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172.45 : 130,303.05 = 130,303.05 : x
  2. Step 2: Convert to fraction form
    83,172.45/130,303.05 = 130,303.05/x
  3. Step 3: Cross multiply
    83,172.45x = 130,303.05 × 130,303.05
  4. Step 4: Simplify right side
    83,172.45x = 16,978,886,060.89
  5. Step 5: Solve for x
    x = 16,978,886,060.89/83,172.45
  6. Step 6: Final answer
    x = 204,140.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.