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Finding the Third Proportional to 86,526 and 187,740

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Solution

The third proportional to 86,526 and 187,740 is: 407,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,526 : 187,740 = 187,740 : x
  2. Step 2: Convert to fraction form
    86,526/187,740 = 187,740/x
  3. Step 3: Cross multiply
    86,526x = 187,740 × 187,740
  4. Step 4: Simplify right side
    86,526x = 35,246,307,600
  5. Step 5: Solve for x
    x = 35,246,307,600/86,526
  6. Step 6: Final answer
    x = 407,349.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.