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Finding the Third Proportional to 60,544 and 94,495

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Solution

The third proportional to 60,544 and 94,495 is: 147,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,544 : 94,495 = 94,495 : x
  2. Step 2: Convert to fraction form
    60,544/94,495 = 94,495/x
  3. Step 3: Cross multiply
    60,544x = 94,495 × 94,495
  4. Step 4: Simplify right side
    60,544x = 8,929,305,025
  5. Step 5: Solve for x
    x = 8,929,305,025/60,544
  6. Step 6: Final answer
    x = 147,484.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.