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Finding the Third Proportional to 50,106 and 77,043

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Solution

The third proportional to 50,106 and 77,043 is: 118,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106 : 77,043 = 77,043 : x
  2. Step 2: Convert to fraction form
    50,106/77,043 = 77,043/x
  3. Step 3: Cross multiply
    50,106x = 77,043 × 77,043
  4. Step 4: Simplify right side
    50,106x = 5,935,623,849
  5. Step 5: Solve for x
    x = 5,935,623,849/50,106
  6. Step 6: Final answer
    x = 118,461.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.