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Finding the Third Proportional to 74,152 and 174,968

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Solution

The third proportional to 74,152 and 174,968 is: 412,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152 : 174,968 = 174,968 : x
  2. Step 2: Convert to fraction form
    74,152/174,968 = 174,968/x
  3. Step 3: Cross multiply
    74,152x = 174,968 × 174,968
  4. Step 4: Simplify right side
    74,152x = 30,613,801,024
  5. Step 5: Solve for x
    x = 30,613,801,024/74,152
  6. Step 6: Final answer
    x = 412,851.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.