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Finding the Third Proportional to 77,316 and 119,467

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Solution

The third proportional to 77,316 and 119,467 is: 184,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,316 : 119,467 = 119,467 : x
  2. Step 2: Convert to fraction form
    77,316/119,467 = 119,467/x
  3. Step 3: Cross multiply
    77,316x = 119,467 × 119,467
  4. Step 4: Simplify right side
    77,316x = 14,272,364,089
  5. Step 5: Solve for x
    x = 14,272,364,089/77,316
  6. Step 6: Final answer
    x = 184,597.81

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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.