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Finding the Third Proportional to 119,656 and 185,253

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Solution

The third proportional to 119,656 and 185,253 is: 286,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,656 : 185,253 = 185,253 : x
  2. Step 2: Convert to fraction form
    119,656/185,253 = 185,253/x
  3. Step 3: Cross multiply
    119,656x = 185,253 × 185,253
  4. Step 4: Simplify right side
    119,656x = 34,318,674,009
  5. Step 5: Solve for x
    x = 34,318,674,009/119,656
  6. Step 6: Final answer
    x = 286,811.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.