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Finding the Third Proportional to 105,627 and 234,871.50

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Solution

The third proportional to 105,627 and 234,871.50 is: 522,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,627 : 234,871.50 = 234,871.50 : x
  2. Step 2: Convert to fraction form
    105,627/234,871.50 = 234,871.50/x
  3. Step 3: Cross multiply
    105,627x = 234,871.50 × 234,871.50
  4. Step 4: Simplify right side
    105,627x = 55,164,621,512.25
  5. Step 5: Solve for x
    x = 55,164,621,512.25/105,627
  6. Step 6: Final answer
    x = 522,258.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.