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Finding the Third Proportional to 49,107.94 and 77,881.50

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Solution

The third proportional to 49,107.94 and 77,881.50 is: 123,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,107.94 : 77,881.50 = 77,881.50 : x
  2. Step 2: Convert to fraction form
    49,107.94/77,881.50 = 77,881.50/x
  3. Step 3: Cross multiply
    49,107.94x = 77,881.50 × 77,881.50
  4. Step 4: Simplify right side
    49,107.94x = 6,065,528,042.25
  5. Step 5: Solve for x
    x = 6,065,528,042.25/49,107.94
  6. Step 6: Final answer
    x = 123,514.21

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