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Finding the Third Proportional to 48,117 and 115,918.50

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Solution

The third proportional to 48,117 and 115,918.50 is: 279,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117 : 115,918.50 = 115,918.50 : x
  2. Step 2: Convert to fraction form
    48,117/115,918.50 = 115,918.50/x
  3. Step 3: Cross multiply
    48,117x = 115,918.50 × 115,918.50
  4. Step 4: Simplify right side
    48,117x = 13,437,098,642.25
  5. Step 5: Solve for x
    x = 13,437,098,642.25/48,117
  6. Step 6: Final answer
    x = 279,258.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.