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Finding the Third Proportional to 47,206 and 74,050

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Solution

The third proportional to 47,206 and 74,050 is: 116,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206 : 74,050 = 74,050 : x
  2. Step 2: Convert to fraction form
    47,206/74,050 = 74,050/x
  3. Step 3: Cross multiply
    47,206x = 74,050 × 74,050
  4. Step 4: Simplify right side
    47,206x = 5,483,402,500
  5. Step 5: Solve for x
    x = 5,483,402,500/47,206
  6. Step 6: Final answer
    x = 116,159.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.