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Finding the Third Proportional to 92,521 and 180,434

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Solution

The third proportional to 92,521 and 180,434 is: 351,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,521 : 180,434 = 180,434 : x
  2. Step 2: Convert to fraction form
    92,521/180,434 = 180,434/x
  3. Step 3: Cross multiply
    92,521x = 180,434 × 180,434
  4. Step 4: Simplify right side
    92,521x = 32,556,428,356
  5. Step 5: Solve for x
    x = 32,556,428,356/92,521
  6. Step 6: Final answer
    x = 351,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.