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Finding the Third Proportional to 134,113.50 and 202,537.13

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Solution

The third proportional to 134,113.50 and 202,537.13 is: 305,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,113.50 : 202,537.13 = 202,537.13 : x
  2. Step 2: Convert to fraction form
    134,113.50/202,537.13 = 202,537.13/x
  3. Step 3: Cross multiply
    134,113.50x = 202,537.13 × 202,537.13
  4. Step 4: Simplify right side
    134,113.50x = 41,021,287,003.27
  5. Step 5: Solve for x
    x = 41,021,287,003.27/134,113.50
  6. Step 6: Final answer
    x = 305,869.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.