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Finding the Third Proportional to 65,472 and 141,304

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Solution

The third proportional to 65,472 and 141,304 is: 304,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,472 : 141,304 = 141,304 : x
  2. Step 2: Convert to fraction form
    65,472/141,304 = 141,304/x
  3. Step 3: Cross multiply
    65,472x = 141,304 × 141,304
  4. Step 4: Simplify right side
    65,472x = 19,966,820,416
  5. Step 5: Solve for x
    x = 19,966,820,416/65,472
  6. Step 6: Final answer
    x = 304,967.32

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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.