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Finding the Third Proportional to 52,035.75 and 78,418.13

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Solution

The third proportional to 52,035.75 and 78,418.13 is: 118,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.75 : 78,418.13 = 78,418.13 : x
  2. Step 2: Convert to fraction form
    52,035.75/78,418.13 = 78,418.13/x
  3. Step 3: Cross multiply
    52,035.75x = 78,418.13 × 78,418.13
  4. Step 4: Simplify right side
    52,035.75x = 6,149,402,328.52
  5. Step 5: Solve for x
    x = 6,149,402,328.52/52,035.75
  6. Step 6: Final answer
    x = 118,176.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.