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Finding the Third Proportional to 65,045 and 97,017

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Solution

The third proportional to 65,045 and 97,017 is: 144,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,045 : 97,017 = 97,017 : x
  2. Step 2: Convert to fraction form
    65,045/97,017 = 97,017/x
  3. Step 3: Cross multiply
    65,045x = 97,017 × 97,017
  4. Step 4: Simplify right side
    65,045x = 9,412,298,289
  5. Step 5: Solve for x
    x = 9,412,298,289/65,045
  6. Step 6: Final answer
    x = 144,704.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.