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Finding the Third Proportional to 48,572 and 103,887

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Solution

The third proportional to 48,572 and 103,887 is: 222,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,572 : 103,887 = 103,887 : x
  2. Step 2: Convert to fraction form
    48,572/103,887 = 103,887/x
  3. Step 3: Cross multiply
    48,572x = 103,887 × 103,887
  4. Step 4: Simplify right side
    48,572x = 10,792,508,769
  5. Step 5: Solve for x
    x = 10,792,508,769/48,572
  6. Step 6: Final answer
    x = 222,196.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.