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Finding the Third Proportional to 50,875 and 110,507.75

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Solution

The third proportional to 50,875 and 110,507.75 is: 240,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,875 : 110,507.75 = 110,507.75 : x
  2. Step 2: Convert to fraction form
    50,875/110,507.75 = 110,507.75/x
  3. Step 3: Cross multiply
    50,875x = 110,507.75 × 110,507.75
  4. Step 4: Simplify right side
    50,875x = 12,211,962,810.06
  5. Step 5: Solve for x
    x = 12,211,962,810.06/50,875
  6. Step 6: Final answer
    x = 240,038.58

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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.