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Finding the Third Proportional to 70,530.75 and 153,495

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Solution

The third proportional to 70,530.75 and 153,495 is: 334,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.75 : 153,495 = 153,495 : x
  2. Step 2: Convert to fraction form
    70,530.75/153,495 = 153,495/x
  3. Step 3: Cross multiply
    70,530.75x = 153,495 × 153,495
  4. Step 4: Simplify right side
    70,530.75x = 23,560,715,025
  5. Step 5: Solve for x
    x = 23,560,715,025/70,530.75
  6. Step 6: Final answer
    x = 334,048.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.