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Finding the Third Proportional to 45,808 and 96,534

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Solution

The third proportional to 45,808 and 96,534 is: 203,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,808 : 96,534 = 96,534 : x
  2. Step 2: Convert to fraction form
    45,808/96,534 = 96,534/x
  3. Step 3: Cross multiply
    45,808x = 96,534 × 96,534
  4. Step 4: Simplify right side
    45,808x = 9,318,813,156
  5. Step 5: Solve for x
    x = 9,318,813,156/45,808
  6. Step 6: Final answer
    x = 203,432.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.