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Finding the Third Proportional to 67,894 and 160,528

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Solution

The third proportional to 67,894 and 160,528 is: 379,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894 : 160,528 = 160,528 : x
  2. Step 2: Convert to fraction form
    67,894/160,528 = 160,528/x
  3. Step 3: Cross multiply
    67,894x = 160,528 × 160,528
  4. Step 4: Simplify right side
    67,894x = 25,769,238,784
  5. Step 5: Solve for x
    x = 25,769,238,784/67,894
  6. Step 6: Final answer
    x = 379,551.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.