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Finding the Third Proportional to 92,109.50 and 146,470

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Solution

The third proportional to 92,109.50 and 146,470 is: 232,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,109.50 : 146,470 = 146,470 : x
  2. Step 2: Convert to fraction form
    92,109.50/146,470 = 146,470/x
  3. Step 3: Cross multiply
    92,109.50x = 146,470 × 146,470
  4. Step 4: Simplify right side
    92,109.50x = 21,453,460,900
  5. Step 5: Solve for x
    x = 21,453,460,900/92,109.50
  6. Step 6: Final answer
    x = 232,912.58

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