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Finding the Third Proportional to 66,490 and 97,162

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Solution

The third proportional to 66,490 and 97,162 is: 141,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,490 : 97,162 = 97,162 : x
  2. Step 2: Convert to fraction form
    66,490/97,162 = 97,162/x
  3. Step 3: Cross multiply
    66,490x = 97,162 × 97,162
  4. Step 4: Simplify right side
    66,490x = 9,440,454,244
  5. Step 5: Solve for x
    x = 9,440,454,244/66,490
  6. Step 6: Final answer
    x = 141,983.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.