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Finding the Third Proportional to 66,490 and 102,194

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Solution

The third proportional to 66,490 and 102,194 is: 157,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,490 : 102,194 = 102,194 : x
  2. Step 2: Convert to fraction form
    66,490/102,194 = 102,194/x
  3. Step 3: Cross multiply
    66,490x = 102,194 × 102,194
  4. Step 4: Simplify right side
    66,490x = 10,443,613,636
  5. Step 5: Solve for x
    x = 10,443,613,636/66,490
  6. Step 6: Final answer
    x = 157,070.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.