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Finding the Third Proportional to 124,923.50 and 164,013

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Solution

The third proportional to 124,923.50 and 164,013 is: 215,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,923.50 : 164,013 = 164,013 : x
  2. Step 2: Convert to fraction form
    124,923.50/164,013 = 164,013/x
  3. Step 3: Cross multiply
    124,923.50x = 164,013 × 164,013
  4. Step 4: Simplify right side
    124,923.50x = 26,900,264,169
  5. Step 5: Solve for x
    x = 26,900,264,169/124,923.50
  6. Step 6: Final answer
    x = 215,333.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.