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Finding the Third Proportional to 77,536 and 119,336

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Solution

The third proportional to 77,536 and 119,336 is: 183,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,536 : 119,336 = 119,336 : x
  2. Step 2: Convert to fraction form
    77,536/119,336 = 119,336/x
  3. Step 3: Cross multiply
    77,536x = 119,336 × 119,336
  4. Step 4: Simplify right side
    77,536x = 14,241,080,896
  5. Step 5: Solve for x
    x = 14,241,080,896/77,536
  6. Step 6: Final answer
    x = 183,670.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.