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Finding the Third Proportional to 49,077 and 77,835

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Solution

The third proportional to 49,077 and 77,835 is: 123,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,077 : 77,835 = 77,835 : x
  2. Step 2: Convert to fraction form
    49,077/77,835 = 77,835/x
  3. Step 3: Cross multiply
    49,077x = 77,835 × 77,835
  4. Step 4: Simplify right side
    49,077x = 6,058,287,225
  5. Step 5: Solve for x
    x = 6,058,287,225/49,077
  6. Step 6: Final answer
    x = 123,444.53

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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.