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Finding the Third Proportional to 69,030 and 97,883

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Solution

The third proportional to 69,030 and 97,883 is: 138,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,030 : 97,883 = 97,883 : x
  2. Step 2: Convert to fraction form
    69,030/97,883 = 97,883/x
  3. Step 3: Cross multiply
    69,030x = 97,883 × 97,883
  4. Step 4: Simplify right side
    69,030x = 9,581,081,689
  5. Step 5: Solve for x
    x = 9,581,081,689/69,030
  6. Step 6: Final answer
    x = 138,795.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.