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Finding the Third Proportional to 93,170 and 147,603

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Solution

The third proportional to 93,170 and 147,603 is: 233,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,170 : 147,603 = 147,603 : x
  2. Step 2: Convert to fraction form
    93,170/147,603 = 147,603/x
  3. Step 3: Cross multiply
    93,170x = 147,603 × 147,603
  4. Step 4: Simplify right side
    93,170x = 21,786,645,609
  5. Step 5: Solve for x
    x = 21,786,645,609/93,170
  6. Step 6: Final answer
    x = 233,837.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.