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Finding the Third Proportional to 48,130 and 115,948

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Solution

The third proportional to 48,130 and 115,948 is: 279,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,130 : 115,948 = 115,948 : x
  2. Step 2: Convert to fraction form
    48,130/115,948 = 115,948/x
  3. Step 3: Cross multiply
    48,130x = 115,948 × 115,948
  4. Step 4: Simplify right side
    48,130x = 13,443,938,704
  5. Step 5: Solve for x
    x = 13,443,938,704/48,130
  6. Step 6: Final answer
    x = 279,325.55

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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.