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Finding the Third Proportional to 72,855 and 115,846.50

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Solution

The third proportional to 72,855 and 115,846.50 is: 184,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,855 : 115,846.50 = 115,846.50 : x
  2. Step 2: Convert to fraction form
    72,855/115,846.50 = 115,846.50/x
  3. Step 3: Cross multiply
    72,855x = 115,846.50 × 115,846.50
  4. Step 4: Simplify right side
    72,855x = 13,420,411,562.25
  5. Step 5: Solve for x
    x = 13,420,411,562.25/72,855
  6. Step 6: Final answer
    x = 184,207.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.