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Finding the Third Proportional to 65,690 and 99,018

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Solution

The third proportional to 65,690 and 99,018 is: 149,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690 : 99,018 = 99,018 : x
  2. Step 2: Convert to fraction form
    65,690/99,018 = 99,018/x
  3. Step 3: Cross multiply
    65,690x = 99,018 × 99,018
  4. Step 4: Simplify right side
    65,690x = 9,804,564,324
  5. Step 5: Solve for x
    x = 9,804,564,324/65,690
  6. Step 6: Final answer
    x = 149,255.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.