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Finding the Third Proportional to 50,054.63 and 77,478.19

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Solution

The third proportional to 50,054.63 and 77,478.19 is: 119,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,054.63 : 77,478.19 = 77,478.19 : x
  2. Step 2: Convert to fraction form
    50,054.63/77,478.19 = 77,478.19/x
  3. Step 3: Cross multiply
    50,054.63x = 77,478.19 × 77,478.19
  4. Step 4: Simplify right side
    50,054.63x = 6,002,869,538.29
  5. Step 5: Solve for x
    x = 6,002,869,538.29/50,054.63
  6. Step 6: Final answer
    x = 119,926.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.