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Finding the Third Proportional to 112,655 and 173,951

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Solution

The third proportional to 112,655 and 173,951 is: 268,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,655 : 173,951 = 173,951 : x
  2. Step 2: Convert to fraction form
    112,655/173,951 = 173,951/x
  3. Step 3: Cross multiply
    112,655x = 173,951 × 173,951
  4. Step 4: Simplify right side
    112,655x = 30,258,950,401
  5. Step 5: Solve for x
    x = 30,258,950,401/112,655
  6. Step 6: Final answer
    x = 268,598.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.