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Finding the Third Proportional to 101,801.81 and 111,030.75

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Solution

The third proportional to 101,801.81 and 111,030.75 is: 121,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801.81 : 111,030.75 = 111,030.75 : x
  2. Step 2: Convert to fraction form
    101,801.81/111,030.75 = 111,030.75/x
  3. Step 3: Cross multiply
    101,801.81x = 111,030.75 × 111,030.75
  4. Step 4: Simplify right side
    101,801.81x = 12,327,827,445.56
  5. Step 5: Solve for x
    x = 12,327,827,445.56/101,801.81
  6. Step 6: Final answer
    x = 121,096.35

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.