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Finding the Third Proportional to 78,280 and 121,260

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Solution

The third proportional to 78,280 and 121,260 is: 187,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,280 : 121,260 = 121,260 : x
  2. Step 2: Convert to fraction form
    78,280/121,260 = 121,260/x
  3. Step 3: Cross multiply
    78,280x = 121,260 × 121,260
  4. Step 4: Simplify right side
    78,280x = 14,703,987,600
  5. Step 5: Solve for x
    x = 14,703,987,600/78,280
  6. Step 6: Final answer
    x = 187,838.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.