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Finding the Third Proportional to 151,426 and 165,572

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Solution

The third proportional to 151,426 and 165,572 is: 181,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,426 : 165,572 = 165,572 : x
  2. Step 2: Convert to fraction form
    151,426/165,572 = 165,572/x
  3. Step 3: Cross multiply
    151,426x = 165,572 × 165,572
  4. Step 4: Simplify right side
    151,426x = 27,414,087,184
  5. Step 5: Solve for x
    x = 27,414,087,184/151,426
  6. Step 6: Final answer
    x = 181,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.