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Finding the Third Proportional to 124,393 and 187,486.50

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Solution

The third proportional to 124,393 and 187,486.50 is: 282,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,393 : 187,486.50 = 187,486.50 : x
  2. Step 2: Convert to fraction form
    124,393/187,486.50 = 187,486.50/x
  3. Step 3: Cross multiply
    124,393x = 187,486.50 × 187,486.50
  4. Step 4: Simplify right side
    124,393x = 35,151,187,682.25
  5. Step 5: Solve for x
    x = 35,151,187,682.25/124,393
  6. Step 6: Final answer
    x = 282,581.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.