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Finding the Third Proportional to 114,060.75 and 170,157

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Solution

The third proportional to 114,060.75 and 170,157 is: 253,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,060.75 : 170,157 = 170,157 : x
  2. Step 2: Convert to fraction form
    114,060.75/170,157 = 170,157/x
  3. Step 3: Cross multiply
    114,060.75x = 170,157 × 170,157
  4. Step 4: Simplify right side
    114,060.75x = 28,953,404,649
  5. Step 5: Solve for x
    x = 28,953,404,649/114,060.75
  6. Step 6: Final answer
    x = 253,841.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.