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Finding the Third Proportional to 65,100 and 99,570

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Solution

The third proportional to 65,100 and 99,570 is: 152,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100 : 99,570 = 99,570 : x
  2. Step 2: Convert to fraction form
    65,100/99,570 = 99,570/x
  3. Step 3: Cross multiply
    65,100x = 99,570 × 99,570
  4. Step 4: Simplify right side
    65,100x = 9,914,184,900
  5. Step 5: Solve for x
    x = 9,914,184,900/65,100
  6. Step 6: Final answer
    x = 152,291.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.