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Finding the Third Proportional to 63,044 and 128,968

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Solution

The third proportional to 63,044 and 128,968 is: 263,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,044 : 128,968 = 128,968 : x
  2. Step 2: Convert to fraction form
    63,044/128,968 = 128,968/x
  3. Step 3: Cross multiply
    63,044x = 128,968 × 128,968
  4. Step 4: Simplify right side
    63,044x = 16,632,745,024
  5. Step 5: Solve for x
    x = 16,632,745,024/63,044
  6. Step 6: Final answer
    x = 263,827.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.