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Finding the Third Proportional to 72,023 and 95,572

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Solution

The third proportional to 72,023 and 95,572 is: 126,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,023 : 95,572 = 95,572 : x
  2. Step 2: Convert to fraction form
    72,023/95,572 = 95,572/x
  3. Step 3: Cross multiply
    72,023x = 95,572 × 95,572
  4. Step 4: Simplify right side
    72,023x = 9,134,007,184
  5. Step 5: Solve for x
    x = 9,134,007,184/72,023
  6. Step 6: Final answer
    x = 126,820.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.