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Finding the Third Proportional to 50,971.41 and 119,925.47

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Solution

The third proportional to 50,971.41 and 119,925.47 is: 282,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,971.41 : 119,925.47 = 119,925.47 : x
  2. Step 2: Convert to fraction form
    50,971.41/119,925.47 = 119,925.47/x
  3. Step 3: Cross multiply
    50,971.41x = 119,925.47 × 119,925.47
  4. Step 4: Simplify right side
    50,971.41x = 14,382,118,054.91
  5. Step 5: Solve for x
    x = 14,382,118,054.91/50,971.41
  6. Step 6: Final answer
    x = 282,160.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.