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Finding the Third Proportional to 52,070 and 77,881

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Solution

The third proportional to 52,070 and 77,881 is: 116,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070 : 77,881 = 77,881 : x
  2. Step 2: Convert to fraction form
    52,070/77,881 = 77,881/x
  3. Step 3: Cross multiply
    52,070x = 77,881 × 77,881
  4. Step 4: Simplify right side
    52,070x = 6,065,450,161
  5. Step 5: Solve for x
    x = 6,065,450,161/52,070
  6. Step 6: Final answer
    x = 116,486.46

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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.