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Finding the Third Proportional to 65,344 and 141,658

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Solution

The third proportional to 65,344 and 141,658 is: 307,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344 : 141,658 = 141,658 : x
  2. Step 2: Convert to fraction form
    65,344/141,658 = 141,658/x
  3. Step 3: Cross multiply
    65,344x = 141,658 × 141,658
  4. Step 4: Simplify right side
    65,344x = 20,066,988,964
  5. Step 5: Solve for x
    x = 20,066,988,964/65,344
  6. Step 6: Final answer
    x = 307,097.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.