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Finding the Third Proportional to 75,370 and 156,943

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Solution

The third proportional to 75,370 and 156,943 is: 326,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370 : 156,943 = 156,943 : x
  2. Step 2: Convert to fraction form
    75,370/156,943 = 156,943/x
  3. Step 3: Cross multiply
    75,370x = 156,943 × 156,943
  4. Step 4: Simplify right side
    75,370x = 24,631,105,249
  5. Step 5: Solve for x
    x = 24,631,105,249/75,370
  6. Step 6: Final answer
    x = 326,802.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.