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Finding the Third Proportional to 84,013.88 and 133,095.66

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Solution

The third proportional to 84,013.88 and 133,095.66 is: 210,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013.88 : 133,095.66 = 133,095.66 : x
  2. Step 2: Convert to fraction form
    84,013.88/133,095.66 = 133,095.66/x
  3. Step 3: Cross multiply
    84,013.88x = 133,095.66 × 133,095.66
  4. Step 4: Simplify right side
    84,013.88x = 17,714,453,712.62
  5. Step 5: Solve for x
    x = 17,714,453,712.62/84,013.88
  6. Step 6: Final answer
    x = 210,851.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.