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Finding the Third Proportional to 65,116 and 98,367

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Solution

The third proportional to 65,116 and 98,367 is: 148,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116 : 98,367 = 98,367 : x
  2. Step 2: Convert to fraction form
    65,116/98,367 = 98,367/x
  3. Step 3: Cross multiply
    65,116x = 98,367 × 98,367
  4. Step 4: Simplify right side
    65,116x = 9,676,066,689
  5. Step 5: Solve for x
    x = 9,676,066,689/65,116
  6. Step 6: Final answer
    x = 148,597.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.