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Finding the Third Proportional to 104,461 and 161,483

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Solution

The third proportional to 104,461 and 161,483 is: 249,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,461 : 161,483 = 161,483 : x
  2. Step 2: Convert to fraction form
    104,461/161,483 = 161,483/x
  3. Step 3: Cross multiply
    104,461x = 161,483 × 161,483
  4. Step 4: Simplify right side
    104,461x = 26,076,759,289
  5. Step 5: Solve for x
    x = 26,076,759,289/104,461
  6. Step 6: Final answer
    x = 249,631.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.