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Finding the Third Proportional to 72,653 and 110,066

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Solution

The third proportional to 72,653 and 110,066 is: 166,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,653 : 110,066 = 110,066 : x
  2. Step 2: Convert to fraction form
    72,653/110,066 = 110,066/x
  3. Step 3: Cross multiply
    72,653x = 110,066 × 110,066
  4. Step 4: Simplify right side
    72,653x = 12,114,524,356
  5. Step 5: Solve for x
    x = 12,114,524,356/72,653
  6. Step 6: Final answer
    x = 166,745.00

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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.