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Finding the Third Proportional to 109,106 and 148,106

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Solution

The third proportional to 109,106 and 148,106 is: 201,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,106 : 148,106 = 148,106 : x
  2. Step 2: Convert to fraction form
    109,106/148,106 = 148,106/x
  3. Step 3: Cross multiply
    109,106x = 148,106 × 148,106
  4. Step 4: Simplify right side
    109,106x = 21,935,387,236
  5. Step 5: Solve for x
    x = 21,935,387,236/109,106
  6. Step 6: Final answer
    x = 201,046.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.