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Finding the Third Proportional to 85,160 and 175,786.50

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Solution

The third proportional to 85,160 and 175,786.50 is: 362,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,160 : 175,786.50 = 175,786.50 : x
  2. Step 2: Convert to fraction form
    85,160/175,786.50 = 175,786.50/x
  3. Step 3: Cross multiply
    85,160x = 175,786.50 × 175,786.50
  4. Step 4: Simplify right side
    85,160x = 30,900,893,582.25
  5. Step 5: Solve for x
    x = 30,900,893,582.25/85,160
  6. Step 6: Final answer
    x = 362,856.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.