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Finding the Third Proportional to 84,706 and 112,926

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Solution

The third proportional to 84,706 and 112,926 is: 150,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706 : 112,926 = 112,926 : x
  2. Step 2: Convert to fraction form
    84,706/112,926 = 112,926/x
  3. Step 3: Cross multiply
    84,706x = 112,926 × 112,926
  4. Step 4: Simplify right side
    84,706x = 12,752,281,476
  5. Step 5: Solve for x
    x = 12,752,281,476/84,706
  6. Step 6: Final answer
    x = 150,547.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.