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Finding the Third Proportional to 52,502 and 123,411.75

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Solution

The third proportional to 52,502 and 123,411.75 is: 290,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502 : 123,411.75 = 123,411.75 : x
  2. Step 2: Convert to fraction form
    52,502/123,411.75 = 123,411.75/x
  3. Step 3: Cross multiply
    52,502x = 123,411.75 × 123,411.75
  4. Step 4: Simplify right side
    52,502x = 15,230,460,038.06
  5. Step 5: Solve for x
    x = 15,230,460,038.06/52,502
  6. Step 6: Final answer
    x = 290,092.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.