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Finding the Third Proportional to 101,114 and 153,063

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Solution

The third proportional to 101,114 and 153,063 is: 231,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,114 : 153,063 = 153,063 : x
  2. Step 2: Convert to fraction form
    101,114/153,063 = 153,063/x
  3. Step 3: Cross multiply
    101,114x = 153,063 × 153,063
  4. Step 4: Simplify right side
    101,114x = 23,428,281,969
  5. Step 5: Solve for x
    x = 23,428,281,969/101,114
  6. Step 6: Final answer
    x = 231,701.66

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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.