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Finding the Third Proportional to 77,100.75 and 120,975.75

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Solution

The third proportional to 77,100.75 and 120,975.75 is: 189,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.75 : 120,975.75 = 120,975.75 : x
  2. Step 2: Convert to fraction form
    77,100.75/120,975.75 = 120,975.75/x
  3. Step 3: Cross multiply
    77,100.75x = 120,975.75 × 120,975.75
  4. Step 4: Simplify right side
    77,100.75x = 14,635,132,088.06
  5. Step 5: Solve for x
    x = 14,635,132,088.06/77,100.75
  6. Step 6: Final answer
    x = 189,818.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.