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Finding the Third Proportional to 77,967 and 118,590

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Solution

The third proportional to 77,967 and 118,590 is: 180,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967 : 118,590 = 118,590 : x
  2. Step 2: Convert to fraction form
    77,967/118,590 = 118,590/x
  3. Step 3: Cross multiply
    77,967x = 118,590 × 118,590
  4. Step 4: Simplify right side
    77,967x = 14,063,588,100
  5. Step 5: Solve for x
    x = 14,063,588,100/77,967
  6. Step 6: Final answer
    x = 180,378.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.