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Finding the Third Proportional to 55,748 and 119,128

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Solution

The third proportional to 55,748 and 119,128 is: 254,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,748 : 119,128 = 119,128 : x
  2. Step 2: Convert to fraction form
    55,748/119,128 = 119,128/x
  3. Step 3: Cross multiply
    55,748x = 119,128 × 119,128
  4. Step 4: Simplify right side
    55,748x = 14,191,480,384
  5. Step 5: Solve for x
    x = 14,191,480,384/55,748
  6. Step 6: Final answer
    x = 254,564.83

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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.