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Finding the Third Proportional to 86,457 and 129,136.50

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Solution

The third proportional to 86,457 and 129,136.50 is: 192,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,457 : 129,136.50 = 129,136.50 : x
  2. Step 2: Convert to fraction form
    86,457/129,136.50 = 129,136.50/x
  3. Step 3: Cross multiply
    86,457x = 129,136.50 × 129,136.50
  4. Step 4: Simplify right side
    86,457x = 16,676,235,632.25
  5. Step 5: Solve for x
    x = 16,676,235,632.25/86,457
  6. Step 6: Final answer
    x = 192,884.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.