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Finding the Third Proportional to 67,570 and 156,410

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Solution

The third proportional to 67,570 and 156,410 is: 362,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,570 : 156,410 = 156,410 : x
  2. Step 2: Convert to fraction form
    67,570/156,410 = 156,410/x
  3. Step 3: Cross multiply
    67,570x = 156,410 × 156,410
  4. Step 4: Simplify right side
    67,570x = 24,464,088,100
  5. Step 5: Solve for x
    x = 24,464,088,100/67,570
  6. Step 6: Final answer
    x = 362,055.47

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.