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Finding the Third Proportional to 85,698 and 181,764

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Solution

The third proportional to 85,698 and 181,764 is: 385,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698 : 181,764 = 181,764 : x
  2. Step 2: Convert to fraction form
    85,698/181,764 = 181,764/x
  3. Step 3: Cross multiply
    85,698x = 181,764 × 181,764
  4. Step 4: Simplify right side
    85,698x = 33,038,151,696
  5. Step 5: Solve for x
    x = 33,038,151,696/85,698
  6. Step 6: Final answer
    x = 385,518.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.