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Finding the Third Proportional to 84,758.06 and 185,775.56

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Solution

The third proportional to 84,758.06 and 185,775.56 is: 407,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,758.06 : 185,775.56 = 185,775.56 : x
  2. Step 2: Convert to fraction form
    84,758.06/185,775.56 = 185,775.56/x
  3. Step 3: Cross multiply
    84,758.06x = 185,775.56 × 185,775.56
  4. Step 4: Simplify right side
    84,758.06x = 34,512,559,622.19
  5. Step 5: Solve for x
    x = 34,512,559,622.19/84,758.06
  6. Step 6: Final answer
    x = 407,189.11

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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.