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Finding the Third Proportional to 67,030 and 99,633

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Solution

The third proportional to 67,030 and 99,633 is: 148,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,030 : 99,633 = 99,633 : x
  2. Step 2: Convert to fraction form
    67,030/99,633 = 99,633/x
  3. Step 3: Cross multiply
    67,030x = 99,633 × 99,633
  4. Step 4: Simplify right side
    67,030x = 9,926,734,689
  5. Step 5: Solve for x
    x = 9,926,734,689/67,030
  6. Step 6: Final answer
    x = 148,093.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.