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Finding the Third Proportional to 124,572 and 188,154

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Solution

The third proportional to 124,572 and 188,154 is: 284,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,572 : 188,154 = 188,154 : x
  2. Step 2: Convert to fraction form
    124,572/188,154 = 188,154/x
  3. Step 3: Cross multiply
    124,572x = 188,154 × 188,154
  4. Step 4: Simplify right side
    124,572x = 35,401,927,716
  5. Step 5: Solve for x
    x = 35,401,927,716/124,572
  6. Step 6: Final answer
    x = 284,188.48

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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.