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Finding the Third Proportional to 48,119 and 75,590

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Solution

The third proportional to 48,119 and 75,590 is: 118,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,119 : 75,590 = 75,590 : x
  2. Step 2: Convert to fraction form
    48,119/75,590 = 75,590/x
  3. Step 3: Cross multiply
    48,119x = 75,590 × 75,590
  4. Step 4: Simplify right side
    48,119x = 5,713,848,100
  5. Step 5: Solve for x
    x = 5,713,848,100/48,119
  6. Step 6: Final answer
    x = 118,744.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.