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Finding the Third Proportional to 94,388 and 142,791

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Solution

The third proportional to 94,388 and 142,791 is: 216,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,388 : 142,791 = 142,791 : x
  2. Step 2: Convert to fraction form
    94,388/142,791 = 142,791/x
  3. Step 3: Cross multiply
    94,388x = 142,791 × 142,791
  4. Step 4: Simplify right side
    94,388x = 20,389,269,681
  5. Step 5: Solve for x
    x = 20,389,269,681/94,388
  6. Step 6: Final answer
    x = 216,015.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.