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Finding the Third Proportional to 77,653 and 168,000

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Solution

The third proportional to 77,653 and 168,000 is: 363,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653 : 168,000 = 168,000 : x
  2. Step 2: Convert to fraction form
    77,653/168,000 = 168,000/x
  3. Step 3: Cross multiply
    77,653x = 168,000 × 168,000
  4. Step 4: Simplify right side
    77,653x = 28,224,000,000
  5. Step 5: Solve for x
    x = 28,224,000,000/77,653
  6. Step 6: Final answer
    x = 363,463.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.