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Finding the Third Proportional to 73,093.64 and 160,146.49

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Solution

The third proportional to 73,093.64 and 160,146.49 is: 350,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,093.64 : 160,146.49 = 160,146.49 : x
  2. Step 2: Convert to fraction form
    73,093.64/160,146.49 = 160,146.49/x
  3. Step 3: Cross multiply
    73,093.64x = 160,146.49 × 160,146.49
  4. Step 4: Simplify right side
    73,093.64x = 25,646,898,959.96
  5. Step 5: Solve for x
    x = 25,646,898,959.96/73,093.64
  6. Step 6: Final answer
    x = 350,877.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.