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Finding the Third Proportional to 75,955 and 156,772

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Solution

The third proportional to 75,955 and 156,772 is: 323,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,955 : 156,772 = 156,772 : x
  2. Step 2: Convert to fraction form
    75,955/156,772 = 156,772/x
  3. Step 3: Cross multiply
    75,955x = 156,772 × 156,772
  4. Step 4: Simplify right side
    75,955x = 24,577,459,984
  5. Step 5: Solve for x
    x = 24,577,459,984/75,955
  6. Step 6: Final answer
    x = 323,579.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.