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Finding the Third Proportional to 67,521 and 147,193.50

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Solution

The third proportional to 67,521 and 147,193.50 is: 320,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,521 : 147,193.50 = 147,193.50 : x
  2. Step 2: Convert to fraction form
    67,521/147,193.50 = 147,193.50/x
  3. Step 3: Cross multiply
    67,521x = 147,193.50 × 147,193.50
  4. Step 4: Simplify right side
    67,521x = 21,665,926,442.25
  5. Step 5: Solve for x
    x = 21,665,926,442.25/67,521
  6. Step 6: Final answer
    x = 320,876.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.