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Finding the Third Proportional to 92,215 and 142,418

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Solution

The third proportional to 92,215 and 142,418 is: 219,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,215 : 142,418 = 142,418 : x
  2. Step 2: Convert to fraction form
    92,215/142,418 = 142,418/x
  3. Step 3: Cross multiply
    92,215x = 142,418 × 142,418
  4. Step 4: Simplify right side
    92,215x = 20,282,886,724
  5. Step 5: Solve for x
    x = 20,282,886,724/92,215
  6. Step 6: Final answer
    x = 219,952.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.