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Finding the Third Proportional to 32,098 and 68,572

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Solution

The third proportional to 32,098 and 68,572 is: 146,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098 : 68,572 = 68,572 : x
  2. Step 2: Convert to fraction form
    32,098/68,572 = 68,572/x
  3. Step 3: Cross multiply
    32,098x = 68,572 × 68,572
  4. Step 4: Simplify right side
    32,098x = 4,702,119,184
  5. Step 5: Solve for x
    x = 4,702,119,184/32,098
  6. Step 6: Final answer
    x = 146,492.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.