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Finding the Third Proportional to 47,160 and 103,066

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Solution

The third proportional to 47,160 and 103,066 is: 225,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160 : 103,066 = 103,066 : x
  2. Step 2: Convert to fraction form
    47,160/103,066 = 103,066/x
  3. Step 3: Cross multiply
    47,160x = 103,066 × 103,066
  4. Step 4: Simplify right side
    47,160x = 10,622,600,356
  5. Step 5: Solve for x
    x = 10,622,600,356/47,160
  6. Step 6: Final answer
    x = 225,245.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.