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Finding the Third Proportional to 104,024 and 165,541

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Solution

The third proportional to 104,024 and 165,541 is: 263,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,024 : 165,541 = 165,541 : x
  2. Step 2: Convert to fraction form
    104,024/165,541 = 165,541/x
  3. Step 3: Cross multiply
    104,024x = 165,541 × 165,541
  4. Step 4: Simplify right side
    104,024x = 27,403,822,681
  5. Step 5: Solve for x
    x = 27,403,822,681/104,024
  6. Step 6: Final answer
    x = 263,437.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.