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Finding the Third Proportional to 50,112 and 116,528

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Solution

The third proportional to 50,112 and 116,528 is: 270,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 116,528 = 116,528 : x
  2. Step 2: Convert to fraction form
    50,112/116,528 = 116,528/x
  3. Step 3: Cross multiply
    50,112x = 116,528 × 116,528
  4. Step 4: Simplify right side
    50,112x = 13,578,774,784
  5. Step 5: Solve for x
    x = 13,578,774,784/50,112
  6. Step 6: Final answer
    x = 270,968.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.