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Finding the Third Proportional to 117,594 and 179,155

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Solution

The third proportional to 117,594 and 179,155 is: 272,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,594 : 179,155 = 179,155 : x
  2. Step 2: Convert to fraction form
    117,594/179,155 = 179,155/x
  3. Step 3: Cross multiply
    117,594x = 179,155 × 179,155
  4. Step 4: Simplify right side
    117,594x = 32,096,514,025
  5. Step 5: Solve for x
    x = 32,096,514,025/117,594
  6. Step 6: Final answer
    x = 272,943.47

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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.