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Finding the Third Proportional to 52,952.63 and 82,555

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Solution

The third proportional to 52,952.63 and 82,555 is: 128,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.63 : 82,555 = 82,555 : x
  2. Step 2: Convert to fraction form
    52,952.63/82,555 = 82,555/x
  3. Step 3: Cross multiply
    52,952.63x = 82,555 × 82,555
  4. Step 4: Simplify right side
    52,952.63x = 6,815,328,025
  5. Step 5: Solve for x
    x = 6,815,328,025/52,952.63
  6. Step 6: Final answer
    x = 128,706.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.