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Finding the Third Proportional to 103,186.13 and 137,594.67

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Solution

The third proportional to 103,186.13 and 137,594.67 is: 183,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,186.13 : 137,594.67 = 137,594.67 : x
  2. Step 2: Convert to fraction form
    103,186.13/137,594.67 = 137,594.67/x
  3. Step 3: Cross multiply
    103,186.13x = 137,594.67 × 137,594.67
  4. Step 4: Simplify right side
    103,186.13x = 18,932,293,728.39
  5. Step 5: Solve for x
    x = 18,932,293,728.39/103,186.13
  6. Step 6: Final answer
    x = 183,477.13

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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.