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Finding the Third Proportional to 66,430 and 101,591

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Solution

The third proportional to 66,430 and 101,591 is: 155,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430 : 101,591 = 101,591 : x
  2. Step 2: Convert to fraction form
    66,430/101,591 = 101,591/x
  3. Step 3: Cross multiply
    66,430x = 101,591 × 101,591
  4. Step 4: Simplify right side
    66,430x = 10,320,731,281
  5. Step 5: Solve for x
    x = 10,320,731,281/66,430
  6. Step 6: Final answer
    x = 155,362.51

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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.