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Finding the Third Proportional to 124,533.70 and 257,929.31

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Solution

The third proportional to 124,533.70 and 257,929.31 is: 534,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,533.70 : 257,929.31 = 257,929.31 : x
  2. Step 2: Convert to fraction form
    124,533.70/257,929.31 = 257,929.31/x
  3. Step 3: Cross multiply
    124,533.70x = 257,929.31 × 257,929.31
  4. Step 4: Simplify right side
    124,533.70x = 66,527,530,246.72
  5. Step 5: Solve for x
    x = 66,527,530,246.72/124,533.70
  6. Step 6: Final answer
    x = 534,213.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.