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Finding the Third Proportional to 92,405 and 170,411

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Solution

The third proportional to 92,405 and 170,411 is: 314,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,405 : 170,411 = 170,411 : x
  2. Step 2: Convert to fraction form
    92,405/170,411 = 170,411/x
  3. Step 3: Cross multiply
    92,405x = 170,411 × 170,411
  4. Step 4: Simplify right side
    92,405x = 29,039,908,921
  5. Step 5: Solve for x
    x = 29,039,908,921/92,405
  6. Step 6: Final answer
    x = 314,267.72

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.