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Finding the Third Proportional to 50,319 and 70,527

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Solution

The third proportional to 50,319 and 70,527 is: 98,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,319 : 70,527 = 70,527 : x
  2. Step 2: Convert to fraction form
    50,319/70,527 = 70,527/x
  3. Step 3: Cross multiply
    50,319x = 70,527 × 70,527
  4. Step 4: Simplify right side
    50,319x = 4,974,057,729
  5. Step 5: Solve for x
    x = 4,974,057,729/50,319
  6. Step 6: Final answer
    x = 98,850.49

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Why These Related Problems?

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