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Finding the Third Proportional to 75,030 and 101,043

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Solution

The third proportional to 75,030 and 101,043 is: 136,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030 : 101,043 = 101,043 : x
  2. Step 2: Convert to fraction form
    75,030/101,043 = 101,043/x
  3. Step 3: Cross multiply
    75,030x = 101,043 × 101,043
  4. Step 4: Simplify right side
    75,030x = 10,209,687,849
  5. Step 5: Solve for x
    x = 10,209,687,849/75,030
  6. Step 6: Final answer
    x = 136,074.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.