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Finding the Third Proportional to 47,358 and 73,148

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Solution

The third proportional to 47,358 and 73,148 is: 112,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 73,148 = 73,148 : x
  2. Step 2: Convert to fraction form
    47,358/73,148 = 73,148/x
  3. Step 3: Cross multiply
    47,358x = 73,148 × 73,148
  4. Step 4: Simplify right side
    47,358x = 5,350,629,904
  5. Step 5: Solve for x
    x = 5,350,629,904/47,358
  6. Step 6: Final answer
    x = 112,982.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.