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Finding the Third Proportional to 100,577.50 and 151,891

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Solution

The third proportional to 100,577.50 and 151,891 is: 229,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.50 : 151,891 = 151,891 : x
  2. Step 2: Convert to fraction form
    100,577.50/151,891 = 151,891/x
  3. Step 3: Cross multiply
    100,577.50x = 151,891 × 151,891
  4. Step 4: Simplify right side
    100,577.50x = 23,070,875,881
  5. Step 5: Solve for x
    x = 23,070,875,881/100,577.50
  6. Step 6: Final answer
    x = 229,384.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.