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Finding the Third Proportional to 47,169 and 70,110.56

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Solution

The third proportional to 47,169 and 70,110.56 is: 104,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169 : 70,110.56 = 70,110.56 : x
  2. Step 2: Convert to fraction form
    47,169/70,110.56 = 70,110.56/x
  3. Step 3: Cross multiply
    47,169x = 70,110.56 × 70,110.56
  4. Step 4: Simplify right side
    47,169x = 4,915,490,974.07
  5. Step 5: Solve for x
    x = 4,915,490,974.07/47,169
  6. Step 6: Final answer
    x = 104,210.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.