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Finding the Third Proportional to 76,619.25 and 162,453

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Solution

The third proportional to 76,619.25 and 162,453 is: 344,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,619.25 : 162,453 = 162,453 : x
  2. Step 2: Convert to fraction form
    76,619.25/162,453 = 162,453/x
  3. Step 3: Cross multiply
    76,619.25x = 162,453 × 162,453
  4. Step 4: Simplify right side
    76,619.25x = 26,390,977,209
  5. Step 5: Solve for x
    x = 26,390,977,209/76,619.25
  6. Step 6: Final answer
    x = 344,443.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.