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Finding the Third Proportional to 104,070 and 219,015

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Solution

The third proportional to 104,070 and 219,015 is: 460,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,070 : 219,015 = 219,015 : x
  2. Step 2: Convert to fraction form
    104,070/219,015 = 219,015/x
  3. Step 3: Cross multiply
    104,070x = 219,015 × 219,015
  4. Step 4: Simplify right side
    104,070x = 47,967,570,225
  5. Step 5: Solve for x
    x = 47,967,570,225/104,070
  6. Step 6: Final answer
    x = 460,916.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.