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Finding the Third Proportional to 77,134 and 115,701

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Solution

The third proportional to 77,134 and 115,701 is: 173,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,134 : 115,701 = 115,701 : x
  2. Step 2: Convert to fraction form
    77,134/115,701 = 115,701/x
  3. Step 3: Cross multiply
    77,134x = 115,701 × 115,701
  4. Step 4: Simplify right side
    77,134x = 13,386,721,401
  5. Step 5: Solve for x
    x = 13,386,721,401/77,134
  6. Step 6: Final answer
    x = 173,551.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.