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Finding the Third Proportional to 101,796 and 153,810

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Solution

The third proportional to 101,796 and 153,810 is: 232,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796 : 153,810 = 153,810 : x
  2. Step 2: Convert to fraction form
    101,796/153,810 = 153,810/x
  3. Step 3: Cross multiply
    101,796x = 153,810 × 153,810
  4. Step 4: Simplify right side
    101,796x = 23,657,516,100
  5. Step 5: Solve for x
    x = 23,657,516,100/101,796
  6. Step 6: Final answer
    x = 232,401.23

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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.