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Finding the Third Proportional to 66,196 and 144,292

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Solution

The third proportional to 66,196 and 144,292 is: 314,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,196 : 144,292 = 144,292 : x
  2. Step 2: Convert to fraction form
    66,196/144,292 = 144,292/x
  3. Step 3: Cross multiply
    66,196x = 144,292 × 144,292
  4. Step 4: Simplify right side
    66,196x = 20,820,181,264
  5. Step 5: Solve for x
    x = 20,820,181,264/66,196
  6. Step 6: Final answer
    x = 314,523.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.