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Finding the Third Proportional to 76,644 and 119,622.50

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Solution

The third proportional to 76,644 and 119,622.50 is: 186,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644 : 119,622.50 = 119,622.50 : x
  2. Step 2: Convert to fraction form
    76,644/119,622.50 = 119,622.50/x
  3. Step 3: Cross multiply
    76,644x = 119,622.50 × 119,622.50
  4. Step 4: Simplify right side
    76,644x = 14,309,542,506.25
  5. Step 5: Solve for x
    x = 14,309,542,506.25/76,644
  6. Step 6: Final answer
    x = 186,701.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.