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Finding the Third Proportional to 66,216 and 98,026

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Solution

The third proportional to 66,216 and 98,026 is: 145,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,216 : 98,026 = 98,026 : x
  2. Step 2: Convert to fraction form
    66,216/98,026 = 98,026/x
  3. Step 3: Cross multiply
    66,216x = 98,026 × 98,026
  4. Step 4: Simplify right side
    66,216x = 9,609,096,676
  5. Step 5: Solve for x
    x = 9,609,096,676/66,216
  6. Step 6: Final answer
    x = 145,117.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.