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Finding the Third Proportional to 47,470 and 74,130

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Solution

The third proportional to 47,470 and 74,130 is: 115,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,470 : 74,130 = 74,130 : x
  2. Step 2: Convert to fraction form
    47,470/74,130 = 74,130/x
  3. Step 3: Cross multiply
    47,470x = 74,130 × 74,130
  4. Step 4: Simplify right side
    47,470x = 5,495,256,900
  5. Step 5: Solve for x
    x = 5,495,256,900/47,470
  6. Step 6: Final answer
    x = 115,762.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.