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Finding the Third Proportional to 52,004 and 80,486

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Solution

The third proportional to 52,004 and 80,486 is: 124,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 80,486 = 80,486 : x
  2. Step 2: Convert to fraction form
    52,004/80,486 = 80,486/x
  3. Step 3: Cross multiply
    52,004x = 80,486 × 80,486
  4. Step 4: Simplify right side
    52,004x = 6,477,996,196
  5. Step 5: Solve for x
    x = 6,477,996,196/52,004
  6. Step 6: Final answer
    x = 124,567.27

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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.