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Finding the Third Proportional to 86,182 and 128,754.50

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Solution

The third proportional to 86,182 and 128,754.50 is: 192,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,182 : 128,754.50 = 128,754.50 : x
  2. Step 2: Convert to fraction form
    86,182/128,754.50 = 128,754.50/x
  3. Step 3: Cross multiply
    86,182x = 128,754.50 × 128,754.50
  4. Step 4: Simplify right side
    86,182x = 16,577,721,270.25
  5. Step 5: Solve for x
    x = 16,577,721,270.25/86,182
  6. Step 6: Final answer
    x = 192,357.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.