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Finding the Third Proportional to 93,270 and 145,488

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Solution

The third proportional to 93,270 and 145,488 is: 226,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,270 : 145,488 = 145,488 : x
  2. Step 2: Convert to fraction form
    93,270/145,488 = 145,488/x
  3. Step 3: Cross multiply
    93,270x = 145,488 × 145,488
  4. Step 4: Simplify right side
    93,270x = 21,166,758,144
  5. Step 5: Solve for x
    x = 21,166,758,144/93,270
  6. Step 6: Final answer
    x = 226,940.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.