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Finding the Third Proportional to 75,712 and 164,681

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Solution

The third proportional to 75,712 and 164,681 is: 358,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712 : 164,681 = 164,681 : x
  2. Step 2: Convert to fraction form
    75,712/164,681 = 164,681/x
  3. Step 3: Cross multiply
    75,712x = 164,681 × 164,681
  4. Step 4: Simplify right side
    75,712x = 27,119,831,761
  5. Step 5: Solve for x
    x = 27,119,831,761/75,712
  6. Step 6: Final answer
    x = 358,197.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.