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Finding the Third Proportional to 124,836 and 259,864.50

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Solution

The third proportional to 124,836 and 259,864.50 is: 540,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,836 : 259,864.50 = 259,864.50 : x
  2. Step 2: Convert to fraction form
    124,836/259,864.50 = 259,864.50/x
  3. Step 3: Cross multiply
    124,836x = 259,864.50 × 259,864.50
  4. Step 4: Simplify right side
    124,836x = 67,529,558,360.25
  5. Step 5: Solve for x
    x = 67,529,558,360.25/124,836
  6. Step 6: Final answer
    x = 540,946.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.