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Finding the Third Proportional to 47,496 and 75,209

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Solution

The third proportional to 47,496 and 75,209 is: 119,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496 : 75,209 = 75,209 : x
  2. Step 2: Convert to fraction form
    47,496/75,209 = 75,209/x
  3. Step 3: Cross multiply
    47,496x = 75,209 × 75,209
  4. Step 4: Simplify right side
    47,496x = 5,656,393,681
  5. Step 5: Solve for x
    x = 5,656,393,681/47,496
  6. Step 6: Final answer
    x = 119,092.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.