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Finding the Third Proportional to 119,076 and 254,523

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Solution

The third proportional to 119,076 and 254,523 is: 544,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076 : 254,523 = 254,523 : x
  2. Step 2: Convert to fraction form
    119,076/254,523 = 254,523/x
  3. Step 3: Cross multiply
    119,076x = 254,523 × 254,523
  4. Step 4: Simplify right side
    119,076x = 64,781,957,529
  5. Step 5: Solve for x
    x = 64,781,957,529/119,076
  6. Step 6: Final answer
    x = 544,038.74

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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.