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Finding the Third Proportional to 45,927 and 72,581.06

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Solution

The third proportional to 45,927 and 72,581.06 is: 114,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 72,581.06 = 72,581.06 : x
  2. Step 2: Convert to fraction form
    45,927/72,581.06 = 72,581.06/x
  3. Step 3: Cross multiply
    45,927x = 72,581.06 × 72,581.06
  4. Step 4: Simplify right side
    45,927x = 5,268,010,633.63
  5. Step 5: Solve for x
    x = 5,268,010,633.63/45,927
  6. Step 6: Final answer
    x = 114,704.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.