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Finding the Third Proportional to 48,136 and 65,572

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Solution

The third proportional to 48,136 and 65,572 is: 89,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,136 : 65,572 = 65,572 : x
  2. Step 2: Convert to fraction form
    48,136/65,572 = 65,572/x
  3. Step 3: Cross multiply
    48,136x = 65,572 × 65,572
  4. Step 4: Simplify right side
    48,136x = 4,299,687,184
  5. Step 5: Solve for x
    x = 4,299,687,184/48,136
  6. Step 6: Final answer
    x = 89,323.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.