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Finding the Third Proportional to 69,901 and 152,090

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Solution

The third proportional to 69,901 and 152,090 is: 330,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,901 : 152,090 = 152,090 : x
  2. Step 2: Convert to fraction form
    69,901/152,090 = 152,090/x
  3. Step 3: Cross multiply
    69,901x = 152,090 × 152,090
  4. Step 4: Simplify right side
    69,901x = 23,131,368,100
  5. Step 5: Solve for x
    x = 23,131,368,100/69,901
  6. Step 6: Final answer
    x = 330,916.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.