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Finding the Third Proportional to 86,973.12 and 127,341.49

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Solution

The third proportional to 86,973.12 and 127,341.49 is: 186,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,973.12 : 127,341.49 = 127,341.49 : x
  2. Step 2: Convert to fraction form
    86,973.12/127,341.49 = 127,341.49/x
  3. Step 3: Cross multiply
    86,973.12x = 127,341.49 × 127,341.49
  4. Step 4: Simplify right side
    86,973.12x = 16,215,855,632.54
  5. Step 5: Solve for x
    x = 16,215,855,632.54/86,973.12
  6. Step 6: Final answer
    x = 186,446.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.