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Finding the Third Proportional to 77,618 and 169,766

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Solution

The third proportional to 77,618 and 169,766 is: 371,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,618 : 169,766 = 169,766 : x
  2. Step 2: Convert to fraction form
    77,618/169,766 = 169,766/x
  3. Step 3: Cross multiply
    77,618x = 169,766 × 169,766
  4. Step 4: Simplify right side
    77,618x = 28,820,494,756
  5. Step 5: Solve for x
    x = 28,820,494,756/77,618
  6. Step 6: Final answer
    x = 371,312.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.