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Finding the Third Proportional to 98,752 and 212,492

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Solution

The third proportional to 98,752 and 212,492 is: 457,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,752 : 212,492 = 212,492 : x
  2. Step 2: Convert to fraction form
    98,752/212,492 = 212,492/x
  3. Step 3: Cross multiply
    98,752x = 212,492 × 212,492
  4. Step 4: Simplify right side
    98,752x = 45,152,850,064
  5. Step 5: Solve for x
    x = 45,152,850,064/98,752
  6. Step 6: Final answer
    x = 457,234.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.