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Finding the Third Proportional to 32,457 and 70,098

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Solution

The third proportional to 32,457 and 70,098 is: 151,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457 : 70,098 = 70,098 : x
  2. Step 2: Convert to fraction form
    32,457/70,098 = 70,098/x
  3. Step 3: Cross multiply
    32,457x = 70,098 × 70,098
  4. Step 4: Simplify right side
    32,457x = 4,913,729,604
  5. Step 5: Solve for x
    x = 4,913,729,604/32,457
  6. Step 6: Final answer
    x = 151,391.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.