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Finding the Third Proportional to 66,262 and 141,454

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Solution

The third proportional to 66,262 and 141,454 is: 301,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,262 : 141,454 = 141,454 : x
  2. Step 2: Convert to fraction form
    66,262/141,454 = 141,454/x
  3. Step 3: Cross multiply
    66,262x = 141,454 × 141,454
  4. Step 4: Simplify right side
    66,262x = 20,009,234,116
  5. Step 5: Solve for x
    x = 20,009,234,116/66,262
  6. Step 6: Final answer
    x = 301,971.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.