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Finding the Third Proportional to 101,810 and 154,875

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Solution

The third proportional to 101,810 and 154,875 is: 235,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810 : 154,875 = 154,875 : x
  2. Step 2: Convert to fraction form
    101,810/154,875 = 154,875/x
  3. Step 3: Cross multiply
    101,810x = 154,875 × 154,875
  4. Step 4: Simplify right side
    101,810x = 23,986,265,625
  5. Step 5: Solve for x
    x = 23,986,265,625/101,810
  6. Step 6: Final answer
    x = 235,598.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.