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Finding the Third Proportional to 52,232 and 112,600

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Solution

The third proportional to 52,232 and 112,600 is: 242,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,232 : 112,600 = 112,600 : x
  2. Step 2: Convert to fraction form
    52,232/112,600 = 112,600/x
  3. Step 3: Cross multiply
    52,232x = 112,600 × 112,600
  4. Step 4: Simplify right side
    52,232x = 12,678,760,000
  5. Step 5: Solve for x
    x = 12,678,760,000/52,232
  6. Step 6: Final answer
    x = 242,739.32

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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.