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Finding the Third Proportional to 47,616 and 75,360

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Solution

The third proportional to 47,616 and 75,360 is: 119,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616 : 75,360 = 75,360 : x
  2. Step 2: Convert to fraction form
    47,616/75,360 = 75,360/x
  3. Step 3: Cross multiply
    47,616x = 75,360 × 75,360
  4. Step 4: Simplify right side
    47,616x = 5,679,129,600
  5. Step 5: Solve for x
    x = 5,679,129,600/47,616
  6. Step 6: Final answer
    x = 119,269.35

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Why These Related Problems?

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