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Finding the Third Proportional to 69,490 and 152,052

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Solution

The third proportional to 69,490 and 152,052 is: 332,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,490 : 152,052 = 152,052 : x
  2. Step 2: Convert to fraction form
    69,490/152,052 = 152,052/x
  3. Step 3: Cross multiply
    69,490x = 152,052 × 152,052
  4. Step 4: Simplify right side
    69,490x = 23,119,810,704
  5. Step 5: Solve for x
    x = 23,119,810,704/69,490
  6. Step 6: Final answer
    x = 332,707.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.