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Finding the Third Proportional to 67,222 and 146,297

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Solution

The third proportional to 67,222 and 146,297 is: 318,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,222 : 146,297 = 146,297 : x
  2. Step 2: Convert to fraction form
    67,222/146,297 = 146,297/x
  3. Step 3: Cross multiply
    67,222x = 146,297 × 146,297
  4. Step 4: Simplify right side
    67,222x = 21,402,812,209
  5. Step 5: Solve for x
    x = 21,402,812,209/67,222
  6. Step 6: Final answer
    x = 318,389.99

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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.