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Finding the Third Proportional to 66,894 and 89,176

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Solution

The third proportional to 66,894 and 89,176 is: 118,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,894 : 89,176 = 89,176 : x
  2. Step 2: Convert to fraction form
    66,894/89,176 = 89,176/x
  3. Step 3: Cross multiply
    66,894x = 89,176 × 89,176
  4. Step 4: Simplify right side
    66,894x = 7,952,358,976
  5. Step 5: Solve for x
    x = 7,952,358,976/66,894
  6. Step 6: Final answer
    x = 118,880.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.