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Finding the Third Proportional to 72,705 and 109,422

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Solution

The third proportional to 72,705 and 109,422 is: 164,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705 : 109,422 = 109,422 : x
  2. Step 2: Convert to fraction form
    72,705/109,422 = 109,422/x
  3. Step 3: Cross multiply
    72,705x = 109,422 × 109,422
  4. Step 4: Simplify right side
    72,705x = 11,973,174,084
  5. Step 5: Solve for x
    x = 11,973,174,084/72,705
  6. Step 6: Final answer
    x = 164,681.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.