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Finding the Third Proportional to 75,040 and 116,157

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Solution

The third proportional to 75,040 and 116,157 is: 179,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,040 : 116,157 = 116,157 : x
  2. Step 2: Convert to fraction form
    75,040/116,157 = 116,157/x
  3. Step 3: Cross multiply
    75,040x = 116,157 × 116,157
  4. Step 4: Simplify right side
    75,040x = 13,492,448,649
  5. Step 5: Solve for x
    x = 13,492,448,649/75,040
  6. Step 6: Final answer
    x = 179,803.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.