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Finding the Third Proportional to 52,125 and 112,356

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Solution

The third proportional to 52,125 and 112,356 is: 242,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125 : 112,356 = 112,356 : x
  2. Step 2: Convert to fraction form
    52,125/112,356 = 112,356/x
  3. Step 3: Cross multiply
    52,125x = 112,356 × 112,356
  4. Step 4: Simplify right side
    52,125x = 12,623,870,736
  5. Step 5: Solve for x
    x = 12,623,870,736/52,125
  6. Step 6: Final answer
    x = 242,184.57

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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.