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Finding the Third Proportional to 55,506 and 119,877

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Solution

The third proportional to 55,506 and 119,877 is: 258,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506 : 119,877 = 119,877 : x
  2. Step 2: Convert to fraction form
    55,506/119,877 = 119,877/x
  3. Step 3: Cross multiply
    55,506x = 119,877 × 119,877
  4. Step 4: Simplify right side
    55,506x = 14,370,495,129
  5. Step 5: Solve for x
    x = 14,370,495,129/55,506
  6. Step 6: Final answer
    x = 258,899.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.