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Finding the Third Proportional to 65,032 and 88,328

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Solution

The third proportional to 65,032 and 88,328 is: 119,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,032 : 88,328 = 88,328 : x
  2. Step 2: Convert to fraction form
    65,032/88,328 = 88,328/x
  3. Step 3: Cross multiply
    65,032x = 88,328 × 88,328
  4. Step 4: Simplify right side
    65,032x = 7,801,835,584
  5. Step 5: Solve for x
    x = 7,801,835,584/65,032
  6. Step 6: Final answer
    x = 119,969.18

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.