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Finding the Third Proportional to 65,390 and 141,146

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Solution

The third proportional to 65,390 and 141,146 is: 304,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,390 : 141,146 = 141,146 : x
  2. Step 2: Convert to fraction form
    65,390/141,146 = 141,146/x
  3. Step 3: Cross multiply
    65,390x = 141,146 × 141,146
  4. Step 4: Simplify right side
    65,390x = 19,922,193,316
  5. Step 5: Solve for x
    x = 19,922,193,316/65,390
  6. Step 6: Final answer
    x = 304,667.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.