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Finding the Third Proportional to 93,582 and 178,533

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Solution

The third proportional to 93,582 and 178,533 is: 340,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,582 : 178,533 = 178,533 : x
  2. Step 2: Convert to fraction form
    93,582/178,533 = 178,533/x
  3. Step 3: Cross multiply
    93,582x = 178,533 × 178,533
  4. Step 4: Simplify right side
    93,582x = 31,874,032,089
  5. Step 5: Solve for x
    x = 31,874,032,089/93,582
  6. Step 6: Final answer
    x = 340,600.03

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.