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Finding the Third Proportional to 60,576 and 92,784

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Solution

The third proportional to 60,576 and 92,784 is: 142,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,576 : 92,784 = 92,784 : x
  2. Step 2: Convert to fraction form
    60,576/92,784 = 92,784/x
  3. Step 3: Cross multiply
    60,576x = 92,784 × 92,784
  4. Step 4: Simplify right side
    60,576x = 8,608,870,656
  5. Step 5: Solve for x
    x = 8,608,870,656/60,576
  6. Step 6: Final answer
    x = 142,116.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.