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Finding the Third Proportional to 50,484 and 78,160

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Solution

The third proportional to 50,484 and 78,160 is: 121,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,484 : 78,160 = 78,160 : x
  2. Step 2: Convert to fraction form
    50,484/78,160 = 78,160/x
  3. Step 3: Cross multiply
    50,484x = 78,160 × 78,160
  4. Step 4: Simplify right side
    50,484x = 6,108,985,600
  5. Step 5: Solve for x
    x = 6,108,985,600/50,484
  6. Step 6: Final answer
    x = 121,008.35

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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.