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Finding the Third Proportional to 48,604 and 70,242

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Solution

The third proportional to 48,604 and 70,242 is: 101,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,604 : 70,242 = 70,242 : x
  2. Step 2: Convert to fraction form
    48,604/70,242 = 70,242/x
  3. Step 3: Cross multiply
    48,604x = 70,242 × 70,242
  4. Step 4: Simplify right side
    48,604x = 4,933,938,564
  5. Step 5: Solve for x
    x = 4,933,938,564/48,604
  6. Step 6: Final answer
    x = 101,513.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.