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Finding the Third Proportional to 71,762.63 and 156,637.13

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Solution

The third proportional to 71,762.63 and 156,637.13 is: 341,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.63 : 156,637.13 = 156,637.13 : x
  2. Step 2: Convert to fraction form
    71,762.63/156,637.13 = 156,637.13/x
  3. Step 3: Cross multiply
    71,762.63x = 156,637.13 × 156,637.13
  4. Step 4: Simplify right side
    71,762.63x = 24,535,188,928.27
  5. Step 5: Solve for x
    x = 24,535,188,928.27/71,762.63
  6. Step 6: Final answer
    x = 341,893.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.