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Finding the Third Proportional to 49,025.25 and 77,918.63

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Solution

The third proportional to 49,025.25 and 77,918.63 is: 123,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,025.25 : 77,918.63 = 77,918.63 : x
  2. Step 2: Convert to fraction form
    49,025.25/77,918.63 = 77,918.63/x
  3. Step 3: Cross multiply
    49,025.25x = 77,918.63 × 77,918.63
  4. Step 4: Simplify right side
    49,025.25x = 6,071,312,121.89
  5. Step 5: Solve for x
    x = 6,071,312,121.89/49,025.25
  6. Step 6: Final answer
    x = 123,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.