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Finding the Third Proportional to 89,468 and 121,071

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Solution

The third proportional to 89,468 and 121,071 is: 163,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,468 : 121,071 = 121,071 : x
  2. Step 2: Convert to fraction form
    89,468/121,071 = 121,071/x
  3. Step 3: Cross multiply
    89,468x = 121,071 × 121,071
  4. Step 4: Simplify right side
    89,468x = 14,658,187,041
  5. Step 5: Solve for x
    x = 14,658,187,041/89,468
  6. Step 6: Final answer
    x = 163,837.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.