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Finding the Third Proportional to 50,061 and 69,988.50

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Solution

The third proportional to 50,061 and 69,988.50 is: 97,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,061 : 69,988.50 = 69,988.50 : x
  2. Step 2: Convert to fraction form
    50,061/69,988.50 = 69,988.50/x
  3. Step 3: Cross multiply
    50,061x = 69,988.50 × 69,988.50
  4. Step 4: Simplify right side
    50,061x = 4,898,390,132.25
  5. Step 5: Solve for x
    x = 4,898,390,132.25/50,061
  6. Step 6: Final answer
    x = 97,848.43

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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.