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Finding the Third Proportional to 57,294 and 85,968

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Solution

The third proportional to 57,294 and 85,968 is: 128,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 85,968 = 85,968 : x
  2. Step 2: Convert to fraction form
    57,294/85,968 = 85,968/x
  3. Step 3: Cross multiply
    57,294x = 85,968 × 85,968
  4. Step 4: Simplify right side
    57,294x = 7,390,497,024
  5. Step 5: Solve for x
    x = 7,390,497,024/57,294
  6. Step 6: Final answer
    x = 128,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.