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Finding the Third Proportional to 119,158 and 175,963

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Solution

The third proportional to 119,158 and 175,963 is: 259,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158 : 175,963 = 175,963 : x
  2. Step 2: Convert to fraction form
    119,158/175,963 = 175,963/x
  3. Step 3: Cross multiply
    119,158x = 175,963 × 175,963
  4. Step 4: Simplify right side
    119,158x = 30,962,977,369
  5. Step 5: Solve for x
    x = 30,962,977,369/119,158
  6. Step 6: Final answer
    x = 259,848.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.