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Finding the Third Proportional to 73,410 and 160,140

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Solution

The third proportional to 73,410 and 160,140 is: 349,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,410 : 160,140 = 160,140 : x
  2. Step 2: Convert to fraction form
    73,410/160,140 = 160,140/x
  3. Step 3: Cross multiply
    73,410x = 160,140 × 160,140
  4. Step 4: Simplify right side
    73,410x = 25,644,819,600
  5. Step 5: Solve for x
    x = 25,644,819,600/73,410
  6. Step 6: Final answer
    x = 349,336.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.