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Finding the Third Proportional to 112,812.75 and 245,077.31

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Solution

The third proportional to 112,812.75 and 245,077.31 is: 532,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,812.75 : 245,077.31 = 245,077.31 : x
  2. Step 2: Convert to fraction form
    112,812.75/245,077.31 = 245,077.31/x
  3. Step 3: Cross multiply
    112,812.75x = 245,077.31 × 245,077.31
  4. Step 4: Simplify right side
    112,812.75x = 60,062,889,102.22
  5. Step 5: Solve for x
    x = 60,062,889,102.22/112,812.75
  6. Step 6: Final answer
    x = 532,412.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.