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Finding the Third Proportional to 103,750 and 162,582

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Solution

The third proportional to 103,750 and 162,582 is: 254,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,750 : 162,582 = 162,582 : x
  2. Step 2: Convert to fraction form
    103,750/162,582 = 162,582/x
  3. Step 3: Cross multiply
    103,750x = 162,582 × 162,582
  4. Step 4: Simplify right side
    103,750x = 26,432,906,724
  5. Step 5: Solve for x
    x = 26,432,906,724/103,750
  6. Step 6: Final answer
    x = 254,775.00

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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.