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Finding the Third Proportional to 86,534 and 191,854

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Solution

The third proportional to 86,534 and 191,854 is: 425,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,534 : 191,854 = 191,854 : x
  2. Step 2: Convert to fraction form
    86,534/191,854 = 191,854/x
  3. Step 3: Cross multiply
    86,534x = 191,854 × 191,854
  4. Step 4: Simplify right side
    86,534x = 36,807,957,316
  5. Step 5: Solve for x
    x = 36,807,957,316/86,534
  6. Step 6: Final answer
    x = 425,358.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.