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Finding the Third Proportional to 48,663 and 92,237

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Solution

The third proportional to 48,663 and 92,237 is: 174,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,663 : 92,237 = 92,237 : x
  2. Step 2: Convert to fraction form
    48,663/92,237 = 92,237/x
  3. Step 3: Cross multiply
    48,663x = 92,237 × 92,237
  4. Step 4: Simplify right side
    48,663x = 8,507,664,169
  5. Step 5: Solve for x
    x = 8,507,664,169/48,663
  6. Step 6: Final answer
    x = 174,828.19

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.