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Finding the Third Proportional to 75,260 and 160,264

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Solution

The third proportional to 75,260 and 160,264 is: 341,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260 : 160,264 = 160,264 : x
  2. Step 2: Convert to fraction form
    75,260/160,264 = 160,264/x
  3. Step 3: Cross multiply
    75,260x = 160,264 × 160,264
  4. Step 4: Simplify right side
    75,260x = 25,684,549,696
  5. Step 5: Solve for x
    x = 25,684,549,696/75,260
  6. Step 6: Final answer
    x = 341,277.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.