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Finding the Third Proportional to 98,786 and 153,003

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Solution

The third proportional to 98,786 and 153,003 is: 236,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,786 : 153,003 = 153,003 : x
  2. Step 2: Convert to fraction form
    98,786/153,003 = 153,003/x
  3. Step 3: Cross multiply
    98,786x = 153,003 × 153,003
  4. Step 4: Simplify right side
    98,786x = 23,409,918,009
  5. Step 5: Solve for x
    x = 23,409,918,009/98,786
  6. Step 6: Final answer
    x = 236,976.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.