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Finding the Third Proportional to 106,417.63 and 159,333.31

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Solution

The third proportional to 106,417.63 and 159,333.31 is: 238,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,417.63 : 159,333.31 = 159,333.31 : x
  2. Step 2: Convert to fraction form
    106,417.63/159,333.31 = 159,333.31/x
  3. Step 3: Cross multiply
    106,417.63x = 159,333.31 × 159,333.31
  4. Step 4: Simplify right side
    106,417.63x = 25,387,103,149.64
  5. Step 5: Solve for x
    x = 25,387,103,149.64/106,417.63
  6. Step 6: Final answer
    x = 238,561.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.