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Finding the Third Proportional to 55,076 and 83,130

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Solution

The third proportional to 55,076 and 83,130 is: 125,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,076 : 83,130 = 83,130 : x
  2. Step 2: Convert to fraction form
    55,076/83,130 = 83,130/x
  3. Step 3: Cross multiply
    55,076x = 83,130 × 83,130
  4. Step 4: Simplify right side
    55,076x = 6,910,596,900
  5. Step 5: Solve for x
    x = 6,910,596,900/55,076
  6. Step 6: Final answer
    x = 125,473.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.