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Finding the Third Proportional to 104,460 and 161,482

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Solution

The third proportional to 104,460 and 161,482 is: 249,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,460 : 161,482 = 161,482 : x
  2. Step 2: Convert to fraction form
    104,460/161,482 = 161,482/x
  3. Step 3: Cross multiply
    104,460x = 161,482 × 161,482
  4. Step 4: Simplify right side
    104,460x = 26,076,436,324
  5. Step 5: Solve for x
    x = 26,076,436,324/104,460
  6. Step 6: Final answer
    x = 249,630.83

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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.