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Finding the Third Proportional to 103,746 and 162,576

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Solution

The third proportional to 103,746 and 162,576 is: 254,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,746 : 162,576 = 162,576 : x
  2. Step 2: Convert to fraction form
    103,746/162,576 = 162,576/x
  3. Step 3: Cross multiply
    103,746x = 162,576 × 162,576
  4. Step 4: Simplify right side
    103,746x = 26,430,955,776
  5. Step 5: Solve for x
    x = 26,430,955,776/103,746
  6. Step 6: Final answer
    x = 254,766.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.