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Finding the Third Proportional to 92,112 and 146,473

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Solution

The third proportional to 92,112 and 146,473 is: 232,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,112 : 146,473 = 146,473 : x
  2. Step 2: Convert to fraction form
    92,112/146,473 = 146,473/x
  3. Step 3: Cross multiply
    92,112x = 146,473 × 146,473
  4. Step 4: Simplify right side
    92,112x = 21,454,339,729
  5. Step 5: Solve for x
    x = 21,454,339,729/92,112
  6. Step 6: Final answer
    x = 232,915.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.