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Finding the Third Proportional to 118,005 and 176,967

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Solution

The third proportional to 118,005 and 176,967 is: 265,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,005 : 176,967 = 176,967 : x
  2. Step 2: Convert to fraction form
    118,005/176,967 = 176,967/x
  3. Step 3: Cross multiply
    118,005x = 176,967 × 176,967
  4. Step 4: Simplify right side
    118,005x = 31,317,319,089
  5. Step 5: Solve for x
    x = 31,317,319,089/118,005
  6. Step 6: Final answer
    x = 265,389.76

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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.