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Finding the Third Proportional to 65,455 and 141,354

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Solution

The third proportional to 65,455 and 141,354 is: 305,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455 : 141,354 = 141,354 : x
  2. Step 2: Convert to fraction form
    65,455/141,354 = 141,354/x
  3. Step 3: Cross multiply
    65,455x = 141,354 × 141,354
  4. Step 4: Simplify right side
    65,455x = 19,980,953,316
  5. Step 5: Solve for x
    x = 19,980,953,316/65,455
  6. Step 6: Final answer
    x = 305,262.44

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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.