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Finding the Third Proportional to 118,540 and 173,309.63

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Solution

The third proportional to 118,540 and 173,309.63 is: 253,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,540 : 173,309.63 = 173,309.63 : x
  2. Step 2: Convert to fraction form
    118,540/173,309.63 = 173,309.63/x
  3. Step 3: Cross multiply
    118,540x = 173,309.63 × 173,309.63
  4. Step 4: Simplify right side
    118,540x = 30,036,226,117.64
  5. Step 5: Solve for x
    x = 30,036,226,117.64/118,540
  6. Step 6: Final answer
    x = 253,384.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.