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Finding the Third Proportional to 96,075 and 152,697

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Solution

The third proportional to 96,075 and 152,697 is: 242,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,075 : 152,697 = 152,697 : x
  2. Step 2: Convert to fraction form
    96,075/152,697 = 152,697/x
  3. Step 3: Cross multiply
    96,075x = 152,697 × 152,697
  4. Step 4: Simplify right side
    96,075x = 23,316,373,809
  5. Step 5: Solve for x
    x = 23,316,373,809/96,075
  6. Step 6: Final answer
    x = 242,689.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.