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Finding the Third Proportional to 107,633 and 147,751

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Solution

The third proportional to 107,633 and 147,751 is: 202,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,633 : 147,751 = 147,751 : x
  2. Step 2: Convert to fraction form
    107,633/147,751 = 147,751/x
  3. Step 3: Cross multiply
    107,633x = 147,751 × 147,751
  4. Step 4: Simplify right side
    107,633x = 21,830,358,001
  5. Step 5: Solve for x
    x = 21,830,358,001/107,633
  6. Step 6: Final answer
    x = 202,822.16

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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.