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Finding the Third Proportional to 72,807 and 109,725

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Solution

The third proportional to 72,807 and 109,725 is: 165,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807 : 109,725 = 109,725 : x
  2. Step 2: Convert to fraction form
    72,807/109,725 = 109,725/x
  3. Step 3: Cross multiply
    72,807x = 109,725 × 109,725
  4. Step 4: Simplify right side
    72,807x = 12,039,575,625
  5. Step 5: Solve for x
    x = 12,039,575,625/72,807
  6. Step 6: Final answer
    x = 165,362.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.