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Finding the Third Proportional to 49,973.63 and 107,355.38

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Solution

The third proportional to 49,973.63 and 107,355.38 is: 230,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,973.63 : 107,355.38 = 107,355.38 : x
  2. Step 2: Convert to fraction form
    49,973.63/107,355.38 = 107,355.38/x
  3. Step 3: Cross multiply
    49,973.63x = 107,355.38 × 107,355.38
  4. Step 4: Simplify right side
    49,973.63x = 11,525,176,541.39
  5. Step 5: Solve for x
    x = 11,525,176,541.39/49,973.63
  6. Step 6: Final answer
    x = 230,625.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.