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Finding the Third Proportional to 90,602 and 130,503

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Solution

The third proportional to 90,602 and 130,503 is: 187,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,602 : 130,503 = 130,503 : x
  2. Step 2: Convert to fraction form
    90,602/130,503 = 130,503/x
  3. Step 3: Cross multiply
    90,602x = 130,503 × 130,503
  4. Step 4: Simplify right side
    90,602x = 17,031,033,009
  5. Step 5: Solve for x
    x = 17,031,033,009/90,602
  6. Step 6: Final answer
    x = 187,976.35

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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.