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Finding the Third Proportional to 70,985 and 156,732

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Solution

The third proportional to 70,985 and 156,732 is: 346,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,985 : 156,732 = 156,732 : x
  2. Step 2: Convert to fraction form
    70,985/156,732 = 156,732/x
  3. Step 3: Cross multiply
    70,985x = 156,732 × 156,732
  4. Step 4: Simplify right side
    70,985x = 24,564,919,824
  5. Step 5: Solve for x
    x = 24,564,919,824/70,985
  6. Step 6: Final answer
    x = 346,057.90

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.