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Finding the Third Proportional to 84,812 and 144,430

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Solution

The third proportional to 84,812 and 144,430 is: 245,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,812 : 144,430 = 144,430 : x
  2. Step 2: Convert to fraction form
    84,812/144,430 = 144,430/x
  3. Step 3: Cross multiply
    84,812x = 144,430 × 144,430
  4. Step 4: Simplify right side
    84,812x = 20,860,024,900
  5. Step 5: Solve for x
    x = 20,860,024,900/84,812
  6. Step 6: Final answer
    x = 245,956.05

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.