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Finding the Third Proportional to 129,654 and 282,024

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Solution

The third proportional to 129,654 and 282,024 is: 613,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 282,024 = 282,024 : x
  2. Step 2: Convert to fraction form
    129,654/282,024 = 282,024/x
  3. Step 3: Cross multiply
    129,654x = 282,024 × 282,024
  4. Step 4: Simplify right side
    129,654x = 79,537,536,576
  5. Step 5: Solve for x
    x = 79,537,536,576/129,654
  6. Step 6: Final answer
    x = 613,459.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.