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Finding the Third Proportional to 55,463.50 and 121,423

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Solution

The third proportional to 55,463.50 and 121,423 is: 265,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,463.50 : 121,423 = 121,423 : x
  2. Step 2: Convert to fraction form
    55,463.50/121,423 = 121,423/x
  3. Step 3: Cross multiply
    55,463.50x = 121,423 × 121,423
  4. Step 4: Simplify right side
    55,463.50x = 14,743,544,929
  5. Step 5: Solve for x
    x = 14,743,544,929/55,463.50
  6. Step 6: Final answer
    x = 265,824.28

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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.