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Finding the Third Proportional to 91,455 and 130,529

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Solution

The third proportional to 91,455 and 130,529 is: 186,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,455 : 130,529 = 130,529 : x
  2. Step 2: Convert to fraction form
    91,455/130,529 = 130,529/x
  3. Step 3: Cross multiply
    91,455x = 130,529 × 130,529
  4. Step 4: Simplify right side
    91,455x = 17,037,819,841
  5. Step 5: Solve for x
    x = 17,037,819,841/91,455
  6. Step 6: Final answer
    x = 186,297.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.