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Finding the Third Proportional to 101,160 and 145,725

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Solution

The third proportional to 101,160 and 145,725 is: 209,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,160 : 145,725 = 145,725 : x
  2. Step 2: Convert to fraction form
    101,160/145,725 = 145,725/x
  3. Step 3: Cross multiply
    101,160x = 145,725 × 145,725
  4. Step 4: Simplify right side
    101,160x = 21,235,775,625
  5. Step 5: Solve for x
    x = 21,235,775,625/101,160
  6. Step 6: Final answer
    x = 209,922.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.