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Finding the Third Proportional to 61,214 and 94,590

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Solution

The third proportional to 61,214 and 94,590 is: 146,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,214 : 94,590 = 94,590 : x
  2. Step 2: Convert to fraction form
    61,214/94,590 = 94,590/x
  3. Step 3: Cross multiply
    61,214x = 94,590 × 94,590
  4. Step 4: Simplify right side
    61,214x = 8,947,268,100
  5. Step 5: Solve for x
    x = 8,947,268,100/61,214
  6. Step 6: Final answer
    x = 146,163.76

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Why These Related Problems?

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