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Finding the Third Proportional to 71,476 and 102,572

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Solution

The third proportional to 71,476 and 102,572 is: 147,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,476 : 102,572 = 102,572 : x
  2. Step 2: Convert to fraction form
    71,476/102,572 = 102,572/x
  3. Step 3: Cross multiply
    71,476x = 102,572 × 102,572
  4. Step 4: Simplify right side
    71,476x = 10,521,015,184
  5. Step 5: Solve for x
    x = 10,521,015,184/71,476
  6. Step 6: Final answer
    x = 147,196.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.