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Finding the Third Proportional to 86,507 and 185,947

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Solution

The third proportional to 86,507 and 185,947 is: 399,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,507 : 185,947 = 185,947 : x
  2. Step 2: Convert to fraction form
    86,507/185,947 = 185,947/x
  3. Step 3: Cross multiply
    86,507x = 185,947 × 185,947
  4. Step 4: Simplify right side
    86,507x = 34,576,286,809
  5. Step 5: Solve for x
    x = 34,576,286,809/86,507
  6. Step 6: Final answer
    x = 399,693.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.