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Finding the Third Proportional to 73,496.63 and 155,824.88

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Solution

The third proportional to 73,496.63 and 155,824.88 is: 330,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,496.63 : 155,824.88 = 155,824.88 : x
  2. Step 2: Convert to fraction form
    73,496.63/155,824.88 = 155,824.88/x
  3. Step 3: Cross multiply
    73,496.63x = 155,824.88 × 155,824.88
  4. Step 4: Simplify right side
    73,496.63x = 24,281,391,668.77
  5. Step 5: Solve for x
    x = 24,281,391,668.77/73,496.63
  6. Step 6: Final answer
    x = 330,374.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.