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Finding the Third Proportional to 107,312 and 166,087

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Solution

The third proportional to 107,312 and 166,087 is: 257,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,312 : 166,087 = 166,087 : x
  2. Step 2: Convert to fraction form
    107,312/166,087 = 166,087/x
  3. Step 3: Cross multiply
    107,312x = 166,087 × 166,087
  4. Step 4: Simplify right side
    107,312x = 27,584,891,569
  5. Step 5: Solve for x
    x = 27,584,891,569/107,312
  6. Step 6: Final answer
    x = 257,053.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.