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Finding the Third Proportional to 65,010 and 97,086

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Solution

The third proportional to 65,010 and 97,086 is: 144,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,010 : 97,086 = 97,086 : x
  2. Step 2: Convert to fraction form
    65,010/97,086 = 97,086/x
  3. Step 3: Cross multiply
    65,010x = 97,086 × 97,086
  4. Step 4: Simplify right side
    65,010x = 9,425,691,396
  5. Step 5: Solve for x
    x = 9,425,691,396/65,010
  6. Step 6: Final answer
    x = 144,988.33

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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.