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Finding the Third Proportional to 66,483.75 and 153,753

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Solution

The third proportional to 66,483.75 and 153,753 is: 355,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,483.75 : 153,753 = 153,753 : x
  2. Step 2: Convert to fraction form
    66,483.75/153,753 = 153,753/x
  3. Step 3: Cross multiply
    66,483.75x = 153,753 × 153,753
  4. Step 4: Simplify right side
    66,483.75x = 23,639,985,009
  5. Step 5: Solve for x
    x = 23,639,985,009/66,483.75
  6. Step 6: Final answer
    x = 355,575.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.