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Finding the Third Proportional to 85,120 and 186,770

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Solution

The third proportional to 85,120 and 186,770 is: 409,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,120 : 186,770 = 186,770 : x
  2. Step 2: Convert to fraction form
    85,120/186,770 = 186,770/x
  3. Step 3: Cross multiply
    85,120x = 186,770 × 186,770
  4. Step 4: Simplify right side
    85,120x = 34,883,032,900
  5. Step 5: Solve for x
    x = 34,883,032,900/85,120
  6. Step 6: Final answer
    x = 409,810.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.