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Finding the Third Proportional to 67,852.13 and 97,394.06

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Solution

The third proportional to 67,852.13 and 97,394.06 is: 139,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,852.13 : 97,394.06 = 97,394.06 : x
  2. Step 2: Convert to fraction form
    67,852.13/97,394.06 = 97,394.06/x
  3. Step 3: Cross multiply
    67,852.13x = 97,394.06 × 97,394.06
  4. Step 4: Simplify right side
    67,852.13x = 9,485,603,410.25
  5. Step 5: Solve for x
    x = 9,485,603,410.25/67,852.13
  6. Step 6: Final answer
    x = 139,798.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.