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Finding the Third Proportional to 98,121 and 151,810

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Solution

The third proportional to 98,121 and 151,810 is: 234,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121 : 151,810 = 151,810 : x
  2. Step 2: Convert to fraction form
    98,121/151,810 = 151,810/x
  3. Step 3: Cross multiply
    98,121x = 151,810 × 151,810
  4. Step 4: Simplify right side
    98,121x = 23,046,276,100
  5. Step 5: Solve for x
    x = 23,046,276,100/98,121
  6. Step 6: Final answer
    x = 234,876.08

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Why These Related Problems?

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