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Finding the Third Proportional to 101,185 and 153,290

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Solution

The third proportional to 101,185 and 153,290 is: 232,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,185 : 153,290 = 153,290 : x
  2. Step 2: Convert to fraction form
    101,185/153,290 = 153,290/x
  3. Step 3: Cross multiply
    101,185x = 153,290 × 153,290
  4. Step 4: Simplify right side
    101,185x = 23,497,824,100
  5. Step 5: Solve for x
    x = 23,497,824,100/101,185
  6. Step 6: Final answer
    x = 232,226.36

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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.