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Finding the Third Proportional to 69,582 and 152,160

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Solution

The third proportional to 69,582 and 152,160 is: 332,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,582 : 152,160 = 152,160 : x
  2. Step 2: Convert to fraction form
    69,582/152,160 = 152,160/x
  3. Step 3: Cross multiply
    69,582x = 152,160 × 152,160
  4. Step 4: Simplify right side
    69,582x = 23,152,665,600
  5. Step 5: Solve for x
    x = 23,152,665,600/69,582
  6. Step 6: Final answer
    x = 332,739.29

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