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Finding the Third Proportional to 63,023.06 and 136,641.94

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Solution

The third proportional to 63,023.06 and 136,641.94 is: 296,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,023.06 : 136,641.94 = 136,641.94 : x
  2. Step 2: Convert to fraction form
    63,023.06/136,641.94 = 136,641.94/x
  3. Step 3: Cross multiply
    63,023.06x = 136,641.94 × 136,641.94
  4. Step 4: Simplify right side
    63,023.06x = 18,671,019,083.75
  5. Step 5: Solve for x
    x = 18,671,019,083.75/63,023.06
  6. Step 6: Final answer
    x = 296,256.93

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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.