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Finding the Third Proportional to 56,106 and 121,749.50

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Solution

The third proportional to 56,106 and 121,749.50 is: 264,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,106 : 121,749.50 = 121,749.50 : x
  2. Step 2: Convert to fraction form
    56,106/121,749.50 = 121,749.50/x
  3. Step 3: Cross multiply
    56,106x = 121,749.50 × 121,749.50
  4. Step 4: Simplify right side
    56,106x = 14,822,940,750.25
  5. Step 5: Solve for x
    x = 14,822,940,750.25/56,106
  6. Step 6: Final answer
    x = 264,195.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.