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Finding the Third Proportional to 67,829 and 147,332

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Solution

The third proportional to 67,829 and 147,332 is: 320,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,829 : 147,332 = 147,332 : x
  2. Step 2: Convert to fraction form
    67,829/147,332 = 147,332/x
  3. Step 3: Cross multiply
    67,829x = 147,332 × 147,332
  4. Step 4: Simplify right side
    67,829x = 21,706,718,224
  5. Step 5: Solve for x
    x = 21,706,718,224/67,829
  6. Step 6: Final answer
    x = 320,021.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.