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Finding the Third Proportional to 115,004 and 158,363

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Solution

The third proportional to 115,004 and 158,363 is: 218,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,004 : 158,363 = 158,363 : x
  2. Step 2: Convert to fraction form
    115,004/158,363 = 158,363/x
  3. Step 3: Cross multiply
    115,004x = 158,363 × 158,363
  4. Step 4: Simplify right side
    115,004x = 25,078,839,769
  5. Step 5: Solve for x
    x = 25,078,839,769/115,004
  6. Step 6: Final answer
    x = 218,069.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.