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Finding the Third Proportional to 72,578 and 112,150

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Solution

The third proportional to 72,578 and 112,150 is: 173,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578 : 112,150 = 112,150 : x
  2. Step 2: Convert to fraction form
    72,578/112,150 = 112,150/x
  3. Step 3: Cross multiply
    72,578x = 112,150 × 112,150
  4. Step 4: Simplify right side
    72,578x = 12,577,622,500
  5. Step 5: Solve for x
    x = 12,577,622,500/72,578
  6. Step 6: Final answer
    x = 173,298.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.