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Finding the Third Proportional to 77,817 and 118,669.50

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Solution

The third proportional to 77,817 and 118,669.50 is: 180,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,817 : 118,669.50 = 118,669.50 : x
  2. Step 2: Convert to fraction form
    77,817/118,669.50 = 118,669.50/x
  3. Step 3: Cross multiply
    77,817x = 118,669.50 × 118,669.50
  4. Step 4: Simplify right side
    77,817x = 14,082,450,230.25
  5. Step 5: Solve for x
    x = 14,082,450,230.25/77,817
  6. Step 6: Final answer
    x = 180,968.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.