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Finding the Third Proportional to 112,856 and 175,310

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Solution

The third proportional to 112,856 and 175,310 is: 272,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,856 : 175,310 = 175,310 : x
  2. Step 2: Convert to fraction form
    112,856/175,310 = 175,310/x
  3. Step 3: Cross multiply
    112,856x = 175,310 × 175,310
  4. Step 4: Simplify right side
    112,856x = 30,733,596,100
  5. Step 5: Solve for x
    x = 30,733,596,100/112,856
  6. Step 6: Final answer
    x = 272,325.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.