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Finding the Third Proportional to 86,574.45 and 212,053.57

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Solution

The third proportional to 86,574.45 and 212,053.57 is: 519,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,574.45 : 212,053.57 = 212,053.57 : x
  2. Step 2: Convert to fraction form
    86,574.45/212,053.57 = 212,053.57/x
  3. Step 3: Cross multiply
    86,574.45x = 212,053.57 × 212,053.57
  4. Step 4: Simplify right side
    86,574.45x = 44,966,716,682.28
  5. Step 5: Solve for x
    x = 44,966,716,682.28/86,574.45
  6. Step 6: Final answer
    x = 519,399.42

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.