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Finding the Third Proportional to 93,723 and 143,369

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Solution

The third proportional to 93,723 and 143,369 is: 219,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,723 : 143,369 = 143,369 : x
  2. Step 2: Convert to fraction form
    93,723/143,369 = 143,369/x
  3. Step 3: Cross multiply
    93,723x = 143,369 × 143,369
  4. Step 4: Simplify right side
    93,723x = 20,554,670,161
  5. Step 5: Solve for x
    x = 20,554,670,161/93,723
  6. Step 6: Final answer
    x = 219,312.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.