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Finding the Third Proportional to 86,113 and 126,617

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Solution

The third proportional to 86,113 and 126,617 is: 186,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,113 : 126,617 = 126,617 : x
  2. Step 2: Convert to fraction form
    86,113/126,617 = 126,617/x
  3. Step 3: Cross multiply
    86,113x = 126,617 × 126,617
  4. Step 4: Simplify right side
    86,113x = 16,031,864,689
  5. Step 5: Solve for x
    x = 16,031,864,689/86,113
  6. Step 6: Final answer
    x = 186,172.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.