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Finding the Third Proportional to 52,284 and 112,920

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Solution

The third proportional to 52,284 and 112,920 is: 243,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,284 : 112,920 = 112,920 : x
  2. Step 2: Convert to fraction form
    52,284/112,920 = 112,920/x
  3. Step 3: Cross multiply
    52,284x = 112,920 × 112,920
  4. Step 4: Simplify right side
    52,284x = 12,750,926,400
  5. Step 5: Solve for x
    x = 12,750,926,400/52,284
  6. Step 6: Final answer
    x = 243,878.17

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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.