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Finding the Third Proportional to 65,260 and 103,721

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Solution

The third proportional to 65,260 and 103,721 is: 164,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260 : 103,721 = 103,721 : x
  2. Step 2: Convert to fraction form
    65,260/103,721 = 103,721/x
  3. Step 3: Cross multiply
    65,260x = 103,721 × 103,721
  4. Step 4: Simplify right side
    65,260x = 10,758,045,841
  5. Step 5: Solve for x
    x = 10,758,045,841/65,260
  6. Step 6: Final answer
    x = 164,849.00

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.