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Finding the Third Proportional to 60,457 and 125,818.50

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Solution

The third proportional to 60,457 and 125,818.50 is: 261,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,457 : 125,818.50 = 125,818.50 : x
  2. Step 2: Convert to fraction form
    60,457/125,818.50 = 125,818.50/x
  3. Step 3: Cross multiply
    60,457x = 125,818.50 × 125,818.50
  4. Step 4: Simplify right side
    60,457x = 15,830,294,942.25
  5. Step 5: Solve for x
    x = 15,830,294,942.25/60,457
  6. Step 6: Final answer
    x = 261,843.87

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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.