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Finding the Third Proportional to 65,939 and 145,323

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Solution

The third proportional to 65,939 and 145,323 is: 320,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,939 : 145,323 = 145,323 : x
  2. Step 2: Convert to fraction form
    65,939/145,323 = 145,323/x
  3. Step 3: Cross multiply
    65,939x = 145,323 × 145,323
  4. Step 4: Simplify right side
    65,939x = 21,118,774,329
  5. Step 5: Solve for x
    x = 21,118,774,329/65,939
  6. Step 6: Final answer
    x = 320,277.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.