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Finding the Third Proportional to 77,680 and 165,528

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Solution

The third proportional to 77,680 and 165,528 is: 352,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,680 : 165,528 = 165,528 : x
  2. Step 2: Convert to fraction form
    77,680/165,528 = 165,528/x
  3. Step 3: Cross multiply
    77,680x = 165,528 × 165,528
  4. Step 4: Simplify right side
    77,680x = 27,399,518,784
  5. Step 5: Solve for x
    x = 27,399,518,784/77,680
  6. Step 6: Final answer
    x = 352,722.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.