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Finding the Third Proportional to 86,309 and 132,473

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Solution

The third proportional to 86,309 and 132,473 is: 203,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,309 : 132,473 = 132,473 : x
  2. Step 2: Convert to fraction form
    86,309/132,473 = 132,473/x
  3. Step 3: Cross multiply
    86,309x = 132,473 × 132,473
  4. Step 4: Simplify right side
    86,309x = 17,549,095,729
  5. Step 5: Solve for x
    x = 17,549,095,729/86,309
  6. Step 6: Final answer
    x = 203,328.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.