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Finding the Third Proportional to 86,170 and 182,275.50

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Solution

The third proportional to 86,170 and 182,275.50 is: 385,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,170 : 182,275.50 = 182,275.50 : x
  2. Step 2: Convert to fraction form
    86,170/182,275.50 = 182,275.50/x
  3. Step 3: Cross multiply
    86,170x = 182,275.50 × 182,275.50
  4. Step 4: Simplify right side
    86,170x = 33,224,357,900.25
  5. Step 5: Solve for x
    x = 33,224,357,900.25/86,170
  6. Step 6: Final answer
    x = 385,567.57

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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.