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Finding the Third Proportional to 52,168 and 112,490

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Solution

The third proportional to 52,168 and 112,490 is: 242,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,168 : 112,490 = 112,490 : x
  2. Step 2: Convert to fraction form
    52,168/112,490 = 112,490/x
  3. Step 3: Cross multiply
    52,168x = 112,490 × 112,490
  4. Step 4: Simplify right side
    52,168x = 12,654,000,100
  5. Step 5: Solve for x
    x = 12,654,000,100/52,168
  6. Step 6: Final answer
    x = 242,562.49

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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.