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Finding the Third Proportional to 55,523 and 121,596.50

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Solution

The third proportional to 55,523 and 121,596.50 is: 266,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,523 : 121,596.50 = 121,596.50 : x
  2. Step 2: Convert to fraction form
    55,523/121,596.50 = 121,596.50/x
  3. Step 3: Cross multiply
    55,523x = 121,596.50 × 121,596.50
  4. Step 4: Simplify right side
    55,523x = 14,785,708,812.25
  5. Step 5: Solve for x
    x = 14,785,708,812.25/55,523
  6. Step 6: Final answer
    x = 266,298.81

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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.