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Finding the Third Proportional to 74,088 and 158,536

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Solution

The third proportional to 74,088 and 158,536 is: 339,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,088 : 158,536 = 158,536 : x
  2. Step 2: Convert to fraction form
    74,088/158,536 = 158,536/x
  3. Step 3: Cross multiply
    74,088x = 158,536 × 158,536
  4. Step 4: Simplify right side
    74,088x = 25,133,663,296
  5. Step 5: Solve for x
    x = 25,133,663,296/74,088
  6. Step 6: Final answer
    x = 339,240.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.