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Finding the Third Proportional to 117,520 and 176,539

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Solution

The third proportional to 117,520 and 176,539 is: 265,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,520 : 176,539 = 176,539 : x
  2. Step 2: Convert to fraction form
    117,520/176,539 = 176,539/x
  3. Step 3: Cross multiply
    117,520x = 176,539 × 176,539
  4. Step 4: Simplify right side
    117,520x = 31,166,018,521
  5. Step 5: Solve for x
    x = 31,166,018,521/117,520
  6. Step 6: Final answer
    x = 265,197.57

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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.