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Finding the Third Proportional to 52,160 and 112,633

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Solution

The third proportional to 52,160 and 112,633 is: 243,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 112,633 = 112,633 : x
  2. Step 2: Convert to fraction form
    52,160/112,633 = 112,633/x
  3. Step 3: Cross multiply
    52,160x = 112,633 × 112,633
  4. Step 4: Simplify right side
    52,160x = 12,686,192,689
  5. Step 5: Solve for x
    x = 12,686,192,689/52,160
  6. Step 6: Final answer
    x = 243,216.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.