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Finding the Third Proportional to 49,465.69 and 76,681.69

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Solution

The third proportional to 49,465.69 and 76,681.69 is: 118,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,465.69 : 76,681.69 = 76,681.69 : x
  2. Step 2: Convert to fraction form
    49,465.69/76,681.69 = 76,681.69/x
  3. Step 3: Cross multiply
    49,465.69x = 76,681.69 × 76,681.69
  4. Step 4: Simplify right side
    49,465.69x = 5,880,081,197.85
  5. Step 5: Solve for x
    x = 5,880,081,197.85/49,465.69
  6. Step 6: Final answer
    x = 118,871.92

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