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Finding the Third Proportional to 62,133.75 and 134,767.13

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Solution

The third proportional to 62,133.75 and 134,767.13 is: 292,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,133.75 : 134,767.13 = 134,767.13 : x
  2. Step 2: Convert to fraction form
    62,133.75/134,767.13 = 134,767.13/x
  3. Step 3: Cross multiply
    62,133.75x = 134,767.13 × 134,767.13
  4. Step 4: Simplify right side
    62,133.75x = 18,162,177,980.77
  5. Step 5: Solve for x
    x = 18,162,177,980.77/62,133.75
  6. Step 6: Final answer
    x = 292,307.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.