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Finding the Third Proportional to 67,631.63 and 105,541.31

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Solution

The third proportional to 67,631.63 and 105,541.31 is: 164,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,631.63 : 105,541.31 = 105,541.31 : x
  2. Step 2: Convert to fraction form
    67,631.63/105,541.31 = 105,541.31/x
  3. Step 3: Cross multiply
    67,631.63x = 105,541.31 × 105,541.31
  4. Step 4: Simplify right side
    67,631.63x = 11,138,968,644.22
  5. Step 5: Solve for x
    x = 11,138,968,644.22/67,631.63
  6. Step 6: Final answer
    x = 164,700.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.