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Finding the Third Proportional to 32,318 and 68,541

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Solution

The third proportional to 32,318 and 68,541 is: 145,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,318 : 68,541 = 68,541 : x
  2. Step 2: Convert to fraction form
    32,318/68,541 = 68,541/x
  3. Step 3: Cross multiply
    32,318x = 68,541 × 68,541
  4. Step 4: Simplify right side
    32,318x = 4,697,868,681
  5. Step 5: Solve for x
    x = 4,697,868,681/32,318
  6. Step 6: Final answer
    x = 145,363.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.