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Finding the Third Proportional to 60,186.38 and 128,705.63

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Solution

The third proportional to 60,186.38 and 128,705.63 is: 275,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,186.38 : 128,705.63 = 128,705.63 : x
  2. Step 2: Convert to fraction form
    60,186.38/128,705.63 = 128,705.63/x
  3. Step 3: Cross multiply
    60,186.38x = 128,705.63 × 128,705.63
  4. Step 4: Simplify right side
    60,186.38x = 16,565,137,906.64
  5. Step 5: Solve for x
    x = 16,565,137,906.64/60,186.38
  6. Step 6: Final answer
    x = 275,230.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.