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Finding the Third Proportional to 56,046 and 119,499

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Solution

The third proportional to 56,046 and 119,499 is: 254,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,046 : 119,499 = 119,499 : x
  2. Step 2: Convert to fraction form
    56,046/119,499 = 119,499/x
  3. Step 3: Cross multiply
    56,046x = 119,499 × 119,499
  4. Step 4: Simplify right side
    56,046x = 14,280,011,001
  5. Step 5: Solve for x
    x = 14,280,011,001/56,046
  6. Step 6: Final answer
    x = 254,790.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.