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Finding the Third Proportional to 125,550 and 186,153

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Solution

The third proportional to 125,550 and 186,153 is: 276,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,550 : 186,153 = 186,153 : x
  2. Step 2: Convert to fraction form
    125,550/186,153 = 186,153/x
  3. Step 3: Cross multiply
    125,550x = 186,153 × 186,153
  4. Step 4: Simplify right side
    125,550x = 34,652,939,409
  5. Step 5: Solve for x
    x = 34,652,939,409/125,550
  6. Step 6: Final answer
    x = 276,009.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.