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Finding the Third Proportional to 92,430 and 146,925

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Solution

The third proportional to 92,430 and 146,925 is: 233,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,430 : 146,925 = 146,925 : x
  2. Step 2: Convert to fraction form
    92,430/146,925 = 146,925/x
  3. Step 3: Cross multiply
    92,430x = 146,925 × 146,925
  4. Step 4: Simplify right side
    92,430x = 21,586,955,625
  5. Step 5: Solve for x
    x = 21,586,955,625/92,430
  6. Step 6: Final answer
    x = 233,549.23

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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.