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Finding the Third Proportional to 103,186.13 and 137,595

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Solution

The third proportional to 103,186.13 and 137,595 is: 183,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,186.13 : 137,595 = 137,595 : x
  2. Step 2: Convert to fraction form
    103,186.13/137,595 = 137,595/x
  3. Step 3: Cross multiply
    103,186.13x = 137,595 × 137,595
  4. Step 4: Simplify right side
    103,186.13x = 18,932,384,025
  5. Step 5: Solve for x
    x = 18,932,384,025/103,186.13
  6. Step 6: Final answer
    x = 183,478.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.