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Finding the Third Proportional to 70,085.25 and 104,837.63

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Solution

The third proportional to 70,085.25 and 104,837.63 is: 156,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,085.25 : 104,837.63 = 104,837.63 : x
  2. Step 2: Convert to fraction form
    70,085.25/104,837.63 = 104,837.63/x
  3. Step 3: Cross multiply
    70,085.25x = 104,837.63 × 104,837.63
  4. Step 4: Simplify right side
    70,085.25x = 10,990,927,615.64
  5. Step 5: Solve for x
    x = 10,990,927,615.64/70,085.25
  6. Step 6: Final answer
    x = 156,822.26

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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.