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Finding the Third Proportional to 32,850 and 72,062

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Solution

The third proportional to 32,850 and 72,062 is: 158,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850 : 72,062 = 72,062 : x
  2. Step 2: Convert to fraction form
    32,850/72,062 = 72,062/x
  3. Step 3: Cross multiply
    32,850x = 72,062 × 72,062
  4. Step 4: Simplify right side
    32,850x = 5,192,931,844
  5. Step 5: Solve for x
    x = 5,192,931,844/32,850
  6. Step 6: Final answer
    x = 158,080.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.