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Finding the Third Proportional to 50,076 and 70,435

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Solution

The third proportional to 50,076 and 70,435 is: 99,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,076 : 70,435 = 70,435 : x
  2. Step 2: Convert to fraction form
    50,076/70,435 = 70,435/x
  3. Step 3: Cross multiply
    50,076x = 70,435 × 70,435
  4. Step 4: Simplify right side
    50,076x = 4,961,089,225
  5. Step 5: Solve for x
    x = 4,961,089,225/50,076
  6. Step 6: Final answer
    x = 99,071.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.