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Finding the Third Proportional to 69,070 and 147,617

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Solution

The third proportional to 69,070 and 147,617 is: 315,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,070 : 147,617 = 147,617 : x
  2. Step 2: Convert to fraction form
    69,070/147,617 = 147,617/x
  3. Step 3: Cross multiply
    69,070x = 147,617 × 147,617
  4. Step 4: Simplify right side
    69,070x = 21,790,778,689
  5. Step 5: Solve for x
    x = 21,790,778,689/69,070
  6. Step 6: Final answer
    x = 315,488.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.