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Finding the Third Proportional to 85,752 and 185,811

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Solution

The third proportional to 85,752 and 185,811 is: 402,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,752 : 185,811 = 185,811 : x
  2. Step 2: Convert to fraction form
    85,752/185,811 = 185,811/x
  3. Step 3: Cross multiply
    85,752x = 185,811 × 185,811
  4. Step 4: Simplify right side
    85,752x = 34,525,727,721
  5. Step 5: Solve for x
    x = 34,525,727,721/85,752
  6. Step 6: Final answer
    x = 402,623.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.