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Finding the Third Proportional to 112,887 and 245,207

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Solution

The third proportional to 112,887 and 245,207 is: 532,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,887 : 245,207 = 245,207 : x
  2. Step 2: Convert to fraction form
    112,887/245,207 = 245,207/x
  3. Step 3: Cross multiply
    112,887x = 245,207 × 245,207
  4. Step 4: Simplify right side
    112,887x = 60,126,472,849
  5. Step 5: Solve for x
    x = 60,126,472,849/112,887
  6. Step 6: Final answer
    x = 532,625.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.