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Finding the Third Proportional to 107,637 and 147,757

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Solution

The third proportional to 107,637 and 147,757 is: 202,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,637 : 147,757 = 147,757 : x
  2. Step 2: Convert to fraction form
    107,637/147,757 = 147,757/x
  3. Step 3: Cross multiply
    107,637x = 147,757 × 147,757
  4. Step 4: Simplify right side
    107,637x = 21,832,131,049
  5. Step 5: Solve for x
    x = 21,832,131,049/107,637
  6. Step 6: Final answer
    x = 202,831.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.