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Finding the Third Proportional to 92,306 and 143,355

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Solution

The third proportional to 92,306 and 143,355 is: 222,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,306 : 143,355 = 143,355 : x
  2. Step 2: Convert to fraction form
    92,306/143,355 = 143,355/x
  3. Step 3: Cross multiply
    92,306x = 143,355 × 143,355
  4. Step 4: Simplify right side
    92,306x = 20,550,656,025
  5. Step 5: Solve for x
    x = 20,550,656,025/92,306
  6. Step 6: Final answer
    x = 222,636.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.