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Finding the Third Proportional to 67,780.13 and 103,433.63

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Solution

The third proportional to 67,780.13 and 103,433.63 is: 157,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,780.13 : 103,433.63 = 103,433.63 : x
  2. Step 2: Convert to fraction form
    67,780.13/103,433.63 = 103,433.63/x
  3. Step 3: Cross multiply
    67,780.13x = 103,433.63 × 103,433.63
  4. Step 4: Simplify right side
    67,780.13x = 10,698,514,780.64
  5. Step 5: Solve for x
    x = 10,698,514,780.64/67,780.13
  6. Step 6: Final answer
    x = 157,841.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.