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Finding the Third Proportional to 81,728 and 112,528

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Solution

The third proportional to 81,728 and 112,528 is: 154,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,728 : 112,528 = 112,528 : x
  2. Step 2: Convert to fraction form
    81,728/112,528 = 112,528/x
  3. Step 3: Cross multiply
    81,728x = 112,528 × 112,528
  4. Step 4: Simplify right side
    81,728x = 12,662,550,784
  5. Step 5: Solve for x
    x = 12,662,550,784/81,728
  6. Step 6: Final answer
    x = 154,935.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.