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Finding the Third Proportional to 69,255 and 152,139

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Solution

The third proportional to 69,255 and 152,139 is: 334,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,255 : 152,139 = 152,139 : x
  2. Step 2: Convert to fraction form
    69,255/152,139 = 152,139/x
  3. Step 3: Cross multiply
    69,255x = 152,139 × 152,139
  4. Step 4: Simplify right side
    69,255x = 23,146,275,321
  5. Step 5: Solve for x
    x = 23,146,275,321/69,255
  6. Step 6: Final answer
    x = 334,218.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.