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Finding the Third Proportional to 93,584 and 178,537

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Solution

The third proportional to 93,584 and 178,537 is: 340,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,584 : 178,537 = 178,537 : x
  2. Step 2: Convert to fraction form
    93,584/178,537 = 178,537/x
  3. Step 3: Cross multiply
    93,584x = 178,537 × 178,537
  4. Step 4: Simplify right side
    93,584x = 31,875,460,369
  5. Step 5: Solve for x
    x = 31,875,460,369/93,584
  6. Step 6: Final answer
    x = 340,608.01

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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.