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Finding the Third Proportional to 70,904 and 106,572

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Solution

The third proportional to 70,904 and 106,572 is: 160,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,904 : 106,572 = 106,572 : x
  2. Step 2: Convert to fraction form
    70,904/106,572 = 106,572/x
  3. Step 3: Cross multiply
    70,904x = 106,572 × 106,572
  4. Step 4: Simplify right side
    70,904x = 11,357,591,184
  5. Step 5: Solve for x
    x = 11,357,591,184/70,904
  6. Step 6: Final answer
    x = 160,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.