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Finding the Third Proportional to 65,994 and 94,029

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Solution

The third proportional to 65,994 and 94,029 is: 133,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,994 : 94,029 = 94,029 : x
  2. Step 2: Convert to fraction form
    65,994/94,029 = 94,029/x
  3. Step 3: Cross multiply
    65,994x = 94,029 × 94,029
  4. Step 4: Simplify right side
    65,994x = 8,841,452,841
  5. Step 5: Solve for x
    x = 8,841,452,841/65,994
  6. Step 6: Final answer
    x = 133,973.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.