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Finding the Third Proportional to 65,798 and 144,718

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Solution

The third proportional to 65,798 and 144,718 is: 318,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,798 : 144,718 = 144,718 : x
  2. Step 2: Convert to fraction form
    65,798/144,718 = 144,718/x
  3. Step 3: Cross multiply
    65,798x = 144,718 × 144,718
  4. Step 4: Simplify right side
    65,798x = 20,943,299,524
  5. Step 5: Solve for x
    x = 20,943,299,524/65,798
  6. Step 6: Final answer
    x = 318,296.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.