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Finding the Third Proportional to 102,053.50 and 160,907

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Solution

The third proportional to 102,053.50 and 160,907 is: 253,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053.50 : 160,907 = 160,907 : x
  2. Step 2: Convert to fraction form
    102,053.50/160,907 = 160,907/x
  3. Step 3: Cross multiply
    102,053.50x = 160,907 × 160,907
  4. Step 4: Simplify right side
    102,053.50x = 25,891,062,649
  5. Step 5: Solve for x
    x = 25,891,062,649/102,053.50
  6. Step 6: Final answer
    x = 253,700.88

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