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Finding the Third Proportional to 50,323 and 70,534

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Solution

The third proportional to 50,323 and 70,534 is: 98,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,323 : 70,534 = 70,534 : x
  2. Step 2: Convert to fraction form
    50,323/70,534 = 70,534/x
  3. Step 3: Cross multiply
    50,323x = 70,534 × 70,534
  4. Step 4: Simplify right side
    50,323x = 4,975,045,156
  5. Step 5: Solve for x
    x = 4,975,045,156/50,323
  6. Step 6: Final answer
    x = 98,862.25

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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.