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Finding the Third Proportional to 75,852 and 163,146

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Solution

The third proportional to 75,852 and 163,146 is: 350,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,852 : 163,146 = 163,146 : x
  2. Step 2: Convert to fraction form
    75,852/163,146 = 163,146/x
  3. Step 3: Cross multiply
    75,852x = 163,146 × 163,146
  4. Step 4: Simplify right side
    75,852x = 26,616,617,316
  5. Step 5: Solve for x
    x = 26,616,617,316/75,852
  6. Step 6: Final answer
    x = 350,901.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.