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Finding the Third Proportional to 61,773 and 125,731.50

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Solution

The third proportional to 61,773 and 125,731.50 is: 255,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,773 : 125,731.50 = 125,731.50 : x
  2. Step 2: Convert to fraction form
    61,773/125,731.50 = 125,731.50/x
  3. Step 3: Cross multiply
    61,773x = 125,731.50 × 125,731.50
  4. Step 4: Simplify right side
    61,773x = 15,808,410,092.25
  5. Step 5: Solve for x
    x = 15,808,410,092.25/61,773
  6. Step 6: Final answer
    x = 255,911.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.