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Finding the Third Proportional to 32,156 and 68,926.50

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Solution

The third proportional to 32,156 and 68,926.50 is: 147,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156 : 68,926.50 = 68,926.50 : x
  2. Step 2: Convert to fraction form
    32,156/68,926.50 = 68,926.50/x
  3. Step 3: Cross multiply
    32,156x = 68,926.50 × 68,926.50
  4. Step 4: Simplify right side
    32,156x = 4,750,862,402.25
  5. Step 5: Solve for x
    x = 4,750,862,402.25/32,156
  6. Step 6: Final answer
    x = 147,744.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.