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Finding the Third Proportional to 45,644.06 and 70,201.13

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Solution

The third proportional to 45,644.06 and 70,201.13 is: 107,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,644.06 : 70,201.13 = 70,201.13 : x
  2. Step 2: Convert to fraction form
    45,644.06/70,201.13 = 70,201.13/x
  3. Step 3: Cross multiply
    45,644.06x = 70,201.13 × 70,201.13
  4. Step 4: Simplify right side
    45,644.06x = 4,928,197,951.27
  5. Step 5: Solve for x
    x = 4,928,197,951.27/45,644.06
  6. Step 6: Final answer
    x = 107,970.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.