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Finding the Third Proportional to 101,239.88 and 160,106.63

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Solution

The third proportional to 101,239.88 and 160,106.63 is: 253,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,239.88 : 160,106.63 = 160,106.63 : x
  2. Step 2: Convert to fraction form
    101,239.88/160,106.63 = 160,106.63/x
  3. Step 3: Cross multiply
    101,239.88x = 160,106.63 × 160,106.63
  4. Step 4: Simplify right side
    101,239.88x = 25,634,131,368.89
  5. Step 5: Solve for x
    x = 25,634,131,368.89/101,239.88
  6. Step 6: Final answer
    x = 253,201.93

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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.