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Finding the Third Proportional to 72,335 and 158,029

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Solution

The third proportional to 72,335 and 158,029 is: 345,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,335 : 158,029 = 158,029 : x
  2. Step 2: Convert to fraction form
    72,335/158,029 = 158,029/x
  3. Step 3: Cross multiply
    72,335x = 158,029 × 158,029
  4. Step 4: Simplify right side
    72,335x = 24,973,164,841
  5. Step 5: Solve for x
    x = 24,973,164,841/72,335
  6. Step 6: Final answer
    x = 345,243.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.