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Finding the Third Proportional to 71,249.63 and 112,816.13

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Solution

The third proportional to 71,249.63 and 112,816.13 is: 178,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,249.63 : 112,816.13 = 112,816.13 : x
  2. Step 2: Convert to fraction form
    71,249.63/112,816.13 = 112,816.13/x
  3. Step 3: Cross multiply
    71,249.63x = 112,816.13 × 112,816.13
  4. Step 4: Simplify right side
    71,249.63x = 12,727,478,060.02
  5. Step 5: Solve for x
    x = 12,727,478,060.02/71,249.63
  6. Step 6: Final answer
    x = 178,632.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.