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Finding the Third Proportional to 73,300 and 109,516

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Solution

The third proportional to 73,300 and 109,516 is: 163,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,300 : 109,516 = 109,516 : x
  2. Step 2: Convert to fraction form
    73,300/109,516 = 109,516/x
  3. Step 3: Cross multiply
    73,300x = 109,516 × 109,516
  4. Step 4: Simplify right side
    73,300x = 11,993,754,256
  5. Step 5: Solve for x
    x = 11,993,754,256/73,300
  6. Step 6: Final answer
    x = 163,625.57

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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.