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Finding the Third Proportional to 47,160 and 72,381

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Solution

The third proportional to 47,160 and 72,381 is: 111,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160 : 72,381 = 72,381 : x
  2. Step 2: Convert to fraction form
    47,160/72,381 = 72,381/x
  3. Step 3: Cross multiply
    47,160x = 72,381 × 72,381
  4. Step 4: Simplify right side
    47,160x = 5,239,009,161
  5. Step 5: Solve for x
    x = 5,239,009,161/47,160
  6. Step 6: Final answer
    x = 111,090.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.