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Finding the Third Proportional to 49,071 and 77,827.50

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Solution

The third proportional to 49,071 and 77,827.50 is: 123,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,071 : 77,827.50 = 77,827.50 : x
  2. Step 2: Convert to fraction form
    49,071/77,827.50 = 77,827.50/x
  3. Step 3: Cross multiply
    49,071x = 77,827.50 × 77,827.50
  4. Step 4: Simplify right side
    49,071x = 6,057,119,756.25
  5. Step 5: Solve for x
    x = 6,057,119,756.25/49,071
  6. Step 6: Final answer
    x = 123,435.83

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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.