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Finding the Third Proportional to 48,130 and 74,381

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Solution

The third proportional to 48,130 and 74,381 is: 114,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,130 : 74,381 = 74,381 : x
  2. Step 2: Convert to fraction form
    48,130/74,381 = 74,381/x
  3. Step 3: Cross multiply
    48,130x = 74,381 × 74,381
  4. Step 4: Simplify right side
    48,130x = 5,532,533,161
  5. Step 5: Solve for x
    x = 5,532,533,161/48,130
  6. Step 6: Final answer
    x = 114,949.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.