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Finding the Third Proportional to 110,524.50 and 157,681.69

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Solution

The third proportional to 110,524.50 and 157,681.69 is: 224,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,524.50 : 157,681.69 = 157,681.69 : x
  2. Step 2: Convert to fraction form
    110,524.50/157,681.69 = 157,681.69/x
  3. Step 3: Cross multiply
    110,524.50x = 157,681.69 × 157,681.69
  4. Step 4: Simplify right side
    110,524.50x = 24,863,514,572.85
  5. Step 5: Solve for x
    x = 24,863,514,572.85/110,524.50
  6. Step 6: Final answer
    x = 224,959.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.