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Finding the Third Proportional to 52,708.22 and 84,302.02

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Solution

The third proportional to 52,708.22 and 84,302.02 is: 134,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708.22 : 84,302.02 = 84,302.02 : x
  2. Step 2: Convert to fraction form
    52,708.22/84,302.02 = 84,302.02/x
  3. Step 3: Cross multiply
    52,708.22x = 84,302.02 × 84,302.02
  4. Step 4: Simplify right side
    52,708.22x = 7,106,829,838.44
  5. Step 5: Solve for x
    x = 7,106,829,838.44/52,708.22
  6. Step 6: Final answer
    x = 134,833.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.