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Finding the Third Proportional to 124,314 and 190,764

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Solution

The third proportional to 124,314 and 190,764 is: 292,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,314 : 190,764 = 190,764 : x
  2. Step 2: Convert to fraction form
    124,314/190,764 = 190,764/x
  3. Step 3: Cross multiply
    124,314x = 190,764 × 190,764
  4. Step 4: Simplify right side
    124,314x = 36,390,903,696
  5. Step 5: Solve for x
    x = 36,390,903,696/124,314
  6. Step 6: Final answer
    x = 292,733.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.