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Finding the Third Proportional to 76,445.44 and 110,111.91

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Solution

The third proportional to 76,445.44 and 110,111.91 is: 158,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,445.44 : 110,111.91 = 110,111.91 : x
  2. Step 2: Convert to fraction form
    76,445.44/110,111.91 = 110,111.91/x
  3. Step 3: Cross multiply
    76,445.44x = 110,111.91 × 110,111.91
  4. Step 4: Simplify right side
    76,445.44x = 12,124,631,898.01
  5. Step 5: Solve for x
    x = 12,124,631,898.01/76,445.44
  6. Step 6: Final answer
    x = 158,605.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.