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Finding the Third Proportional to 90,513 and 137,718

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Solution

The third proportional to 90,513 and 137,718 is: 209,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,513 : 137,718 = 137,718 : x
  2. Step 2: Convert to fraction form
    90,513/137,718 = 137,718/x
  3. Step 3: Cross multiply
    90,513x = 137,718 × 137,718
  4. Step 4: Simplify right side
    90,513x = 18,966,247,524
  5. Step 5: Solve for x
    x = 18,966,247,524/90,513
  6. Step 6: Final answer
    x = 209,541.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.