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Finding the Third Proportional to 50,517 and 70,776

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Solution

The third proportional to 50,517 and 70,776 is: 99,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517 : 70,776 = 70,776 : x
  2. Step 2: Convert to fraction form
    50,517/70,776 = 70,776/x
  3. Step 3: Cross multiply
    50,517x = 70,776 × 70,776
  4. Step 4: Simplify right side
    50,517x = 5,009,242,176
  5. Step 5: Solve for x
    x = 5,009,242,176/50,517
  6. Step 6: Final answer
    x = 99,159.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.