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Finding the Third Proportional to 65,000 and 141,097

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Solution

The third proportional to 65,000 and 141,097 is: 306,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000 : 141,097 = 141,097 : x
  2. Step 2: Convert to fraction form
    65,000/141,097 = 141,097/x
  3. Step 3: Cross multiply
    65,000x = 141,097 × 141,097
  4. Step 4: Simplify right side
    65,000x = 19,908,363,409
  5. Step 5: Solve for x
    x = 19,908,363,409/65,000
  6. Step 6: Final answer
    x = 306,282.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.