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Finding the Third Proportional to 144,053 and 191,154

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Solution

The third proportional to 144,053 and 191,154 is: 253,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,053 : 191,154 = 191,154 : x
  2. Step 2: Convert to fraction form
    144,053/191,154 = 191,154/x
  3. Step 3: Cross multiply
    144,053x = 191,154 × 191,154
  4. Step 4: Simplify right side
    144,053x = 36,539,851,716
  5. Step 5: Solve for x
    x = 36,539,851,716/144,053
  6. Step 6: Final answer
    x = 253,655.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.