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Finding the Third Proportional to 29,300 and 69,140

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Solution

The third proportional to 29,300 and 69,140 is: 163,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,300 : 69,140 = 69,140 : x
  2. Step 2: Convert to fraction form
    29,300/69,140 = 69,140/x
  3. Step 3: Cross multiply
    29,300x = 69,140 × 69,140
  4. Step 4: Simplify right side
    29,300x = 4,780,339,600
  5. Step 5: Solve for x
    x = 4,780,339,600/29,300
  6. Step 6: Final answer
    x = 163,151.52

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.