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Finding the Third Proportional to 61,408.13 and 97,647.19

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Solution

The third proportional to 61,408.13 and 97,647.19 is: 155,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408.13 : 97,647.19 = 97,647.19 : x
  2. Step 2: Convert to fraction form
    61,408.13/97,647.19 = 97,647.19/x
  3. Step 3: Cross multiply
    61,408.13x = 97,647.19 × 97,647.19
  4. Step 4: Simplify right side
    61,408.13x = 9,534,973,226.66
  5. Step 5: Solve for x
    x = 9,534,973,226.66/61,408.13
  6. Step 6: Final answer
    x = 155,272.18

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Why These Related Problems?

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