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Finding the Third Proportional to 72,293.63 and 156,652.31

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Solution

The third proportional to 72,293.63 and 156,652.31 is: 339,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,293.63 : 156,652.31 = 156,652.31 : x
  2. Step 2: Convert to fraction form
    72,293.63/156,652.31 = 156,652.31/x
  3. Step 3: Cross multiply
    72,293.63x = 156,652.31 × 156,652.31
  4. Step 4: Simplify right side
    72,293.63x = 24,539,947,011.60
  5. Step 5: Solve for x
    x = 24,539,947,011.60/72,293.63
  6. Step 6: Final answer
    x = 339,448.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.