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Finding the Third Proportional to 90,588 and 130,479

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Solution

The third proportional to 90,588 and 130,479 is: 187,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,588 : 130,479 = 130,479 : x
  2. Step 2: Convert to fraction form
    90,588/130,479 = 130,479/x
  3. Step 3: Cross multiply
    90,588x = 130,479 × 130,479
  4. Step 4: Simplify right side
    90,588x = 17,024,769,441
  5. Step 5: Solve for x
    x = 17,024,769,441/90,588
  6. Step 6: Final answer
    x = 187,936.25

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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.