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Finding the Third Proportional to 56,265.19 and 122,189.06

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Solution

The third proportional to 56,265.19 and 122,189.06 is: 265,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,265.19 : 122,189.06 = 122,189.06 : x
  2. Step 2: Convert to fraction form
    56,265.19/122,189.06 = 122,189.06/x
  3. Step 3: Cross multiply
    56,265.19x = 122,189.06 × 122,189.06
  4. Step 4: Simplify right side
    56,265.19x = 14,930,166,994.63
  5. Step 5: Solve for x
    x = 14,930,166,994.63/56,265.19
  6. Step 6: Final answer
    x = 265,353.55

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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.