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Finding the Third Proportional to 83,712 and 180,702

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Solution

The third proportional to 83,712 and 180,702 is: 390,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,712 : 180,702 = 180,702 : x
  2. Step 2: Convert to fraction form
    83,712/180,702 = 180,702/x
  3. Step 3: Cross multiply
    83,712x = 180,702 × 180,702
  4. Step 4: Simplify right side
    83,712x = 32,653,212,804
  5. Step 5: Solve for x
    x = 32,653,212,804/83,712
  6. Step 6: Final answer
    x = 390,066.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.