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Finding the Third Proportional to 119,070 and 254,508.75

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Solution

The third proportional to 119,070 and 254,508.75 is: 544,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,070 : 254,508.75 = 254,508.75 : x
  2. Step 2: Convert to fraction form
    119,070/254,508.75 = 254,508.75/x
  3. Step 3: Cross multiply
    119,070x = 254,508.75 × 254,508.75
  4. Step 4: Simplify right side
    119,070x = 64,774,703,826.56
  5. Step 5: Solve for x
    x = 64,774,703,826.56/119,070
  6. Step 6: Final answer
    x = 544,005.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.