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Finding the Third Proportional to 77,414 and 119,643

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Solution

The third proportional to 77,414 and 119,643 is: 184,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414 : 119,643 = 119,643 : x
  2. Step 2: Convert to fraction form
    77,414/119,643 = 119,643/x
  3. Step 3: Cross multiply
    77,414x = 119,643 × 119,643
  4. Step 4: Simplify right side
    77,414x = 14,314,447,449
  5. Step 5: Solve for x
    x = 14,314,447,449/77,414
  6. Step 6: Final answer
    x = 184,907.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.