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Finding the Third Proportional to 77,962.50 and 168,226.88

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Solution

The third proportional to 77,962.50 and 168,226.88 is: 362,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962.50 : 168,226.88 = 168,226.88 : x
  2. Step 2: Convert to fraction form
    77,962.50/168,226.88 = 168,226.88/x
  3. Step 3: Cross multiply
    77,962.50x = 168,226.88 × 168,226.88
  4. Step 4: Simplify right side
    77,962.50x = 28,300,281,472.27
  5. Step 5: Solve for x
    x = 28,300,281,472.27/77,962.50
  6. Step 6: Final answer
    x = 362,998.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.