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Finding the Third Proportional to 52,213 and 84,070.56

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Solution

The third proportional to 52,213 and 84,070.56 is: 135,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,213 : 84,070.56 = 84,070.56 : x
  2. Step 2: Convert to fraction form
    52,213/84,070.56 = 84,070.56/x
  3. Step 3: Cross multiply
    52,213x = 84,070.56 × 84,070.56
  4. Step 4: Simplify right side
    52,213x = 7,067,859,479.07
  5. Step 5: Solve for x
    x = 7,067,859,479.07/52,213
  6. Step 6: Final answer
    x = 135,365.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.