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Finding the Third Proportional to 71,582 and 152,410

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Solution

The third proportional to 71,582 and 152,410 is: 324,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,582 : 152,410 = 152,410 : x
  2. Step 2: Convert to fraction form
    71,582/152,410 = 152,410/x
  3. Step 3: Cross multiply
    71,582x = 152,410 × 152,410
  4. Step 4: Simplify right side
    71,582x = 23,228,808,100
  5. Step 5: Solve for x
    x = 23,228,808,100/71,582
  6. Step 6: Final answer
    x = 324,506.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.