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Finding the Third Proportional to 85,875 and 188,877

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Solution

The third proportional to 85,875 and 188,877 is: 415,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,875 : 188,877 = 188,877 : x
  2. Step 2: Convert to fraction form
    85,875/188,877 = 188,877/x
  3. Step 3: Cross multiply
    85,875x = 188,877 × 188,877
  4. Step 4: Simplify right side
    85,875x = 35,674,521,129
  5. Step 5: Solve for x
    x = 35,674,521,129/85,875
  6. Step 6: Final answer
    x = 415,423.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.