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Finding the Third Proportional to 73,471 and 109,126.50

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Solution

The third proportional to 73,471 and 109,126.50 is: 162,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,471 : 109,126.50 = 109,126.50 : x
  2. Step 2: Convert to fraction form
    73,471/109,126.50 = 109,126.50/x
  3. Step 3: Cross multiply
    73,471x = 109,126.50 × 109,126.50
  4. Step 4: Simplify right side
    73,471x = 11,908,593,002.25
  5. Step 5: Solve for x
    x = 11,908,593,002.25/73,471
  6. Step 6: Final answer
    x = 162,085.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.