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Finding the Third Proportional to 72,792 and 157,968

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Solution

The third proportional to 72,792 and 157,968 is: 342,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,792 : 157,968 = 157,968 : x
  2. Step 2: Convert to fraction form
    72,792/157,968 = 157,968/x
  3. Step 3: Cross multiply
    72,792x = 157,968 × 157,968
  4. Step 4: Simplify right side
    72,792x = 24,953,889,024
  5. Step 5: Solve for x
    x = 24,953,889,024/72,792
  6. Step 6: Final answer
    x = 342,810.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.