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Finding the Third Proportional to 47,259.75 and 102,276.75

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Solution

The third proportional to 47,259.75 and 102,276.75 is: 221,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,259.75 : 102,276.75 = 102,276.75 : x
  2. Step 2: Convert to fraction form
    47,259.75/102,276.75 = 102,276.75/x
  3. Step 3: Cross multiply
    47,259.75x = 102,276.75 × 102,276.75
  4. Step 4: Simplify right side
    47,259.75x = 10,460,533,590.56
  5. Step 5: Solve for x
    x = 10,460,533,590.56/47,259.75
  6. Step 6: Final answer
    x = 221,341.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.