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Finding the Third Proportional to 85,770 and 184,596

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Solution

The third proportional to 85,770 and 184,596 is: 397,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,770 : 184,596 = 184,596 : x
  2. Step 2: Convert to fraction form
    85,770/184,596 = 184,596/x
  3. Step 3: Cross multiply
    85,770x = 184,596 × 184,596
  4. Step 4: Simplify right side
    85,770x = 34,075,683,216
  5. Step 5: Solve for x
    x = 34,075,683,216/85,770
  6. Step 6: Final answer
    x = 397,291.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.