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Finding the Third Proportional to 55,209 and 119,160

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Solution

The third proportional to 55,209 and 119,160 is: 257,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209 : 119,160 = 119,160 : x
  2. Step 2: Convert to fraction form
    55,209/119,160 = 119,160/x
  3. Step 3: Cross multiply
    55,209x = 119,160 × 119,160
  4. Step 4: Simplify right side
    55,209x = 14,199,105,600
  5. Step 5: Solve for x
    x = 14,199,105,600/55,209
  6. Step 6: Final answer
    x = 257,188.24

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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.