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Finding the Third Proportional to 53,332.50 and 80,136

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Solution

The third proportional to 53,332.50 and 80,136 is: 120,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,332.50 : 80,136 = 80,136 : x
  2. Step 2: Convert to fraction form
    53,332.50/80,136 = 80,136/x
  3. Step 3: Cross multiply
    53,332.50x = 80,136 × 80,136
  4. Step 4: Simplify right side
    53,332.50x = 6,421,778,496
  5. Step 5: Solve for x
    x = 6,421,778,496/53,332.50
  6. Step 6: Final answer
    x = 120,410.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.