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Finding the Third Proportional to 93,242 and 144,642

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Solution

The third proportional to 93,242 and 144,642 is: 224,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,242 : 144,642 = 144,642 : x
  2. Step 2: Convert to fraction form
    93,242/144,642 = 144,642/x
  3. Step 3: Cross multiply
    93,242x = 144,642 × 144,642
  4. Step 4: Simplify right side
    93,242x = 20,921,308,164
  5. Step 5: Solve for x
    x = 20,921,308,164/93,242
  6. Step 6: Final answer
    x = 224,376.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.