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Finding the Third Proportional to 72,623.25 and 106,548.75

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Solution

The third proportional to 72,623.25 and 106,548.75 is: 156,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,623.25 : 106,548.75 = 106,548.75 : x
  2. Step 2: Convert to fraction form
    72,623.25/106,548.75 = 106,548.75/x
  3. Step 3: Cross multiply
    72,623.25x = 106,548.75 × 106,548.75
  4. Step 4: Simplify right side
    72,623.25x = 11,352,636,126.56
  5. Step 5: Solve for x
    x = 11,352,636,126.56/72,623.25
  6. Step 6: Final answer
    x = 156,322.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.