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Finding the Third Proportional to 83,669.63 and 127,465.59

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Solution

The third proportional to 83,669.63 and 127,465.59 is: 194,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,669.63 : 127,465.59 = 127,465.59 : x
  2. Step 2: Convert to fraction form
    83,669.63/127,465.59 = 127,465.59/x
  3. Step 3: Cross multiply
    83,669.63x = 127,465.59 × 127,465.59
  4. Step 4: Simplify right side
    83,669.63x = 16,247,477,590.04
  5. Step 5: Solve for x
    x = 16,247,477,590.04/83,669.63
  6. Step 6: Final answer
    x = 194,186.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.