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Finding the Third Proportional to 50,154.75 and 74,988

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Solution

The third proportional to 50,154.75 and 74,988 is: 112,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154.75 : 74,988 = 74,988 : x
  2. Step 2: Convert to fraction form
    50,154.75/74,988 = 74,988/x
  3. Step 3: Cross multiply
    50,154.75x = 74,988 × 74,988
  4. Step 4: Simplify right side
    50,154.75x = 5,623,200,144
  5. Step 5: Solve for x
    x = 5,623,200,144/50,154.75
  6. Step 6: Final answer
    x = 112,117.00

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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.