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Finding the Third Proportional to 73,562 and 157,492

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Solution

The third proportional to 73,562 and 157,492 is: 337,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,562 : 157,492 = 157,492 : x
  2. Step 2: Convert to fraction form
    73,562/157,492 = 157,492/x
  3. Step 3: Cross multiply
    73,562x = 157,492 × 157,492
  4. Step 4: Simplify right side
    73,562x = 24,803,730,064
  5. Step 5: Solve for x
    x = 24,803,730,064/73,562
  6. Step 6: Final answer
    x = 337,181.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.