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Finding the Third Proportional to 76,028 and 118,011

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Solution

The third proportional to 76,028 and 118,011 is: 183,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,028 : 118,011 = 118,011 : x
  2. Step 2: Convert to fraction form
    76,028/118,011 = 118,011/x
  3. Step 3: Cross multiply
    76,028x = 118,011 × 118,011
  4. Step 4: Simplify right side
    76,028x = 13,926,596,121
  5. Step 5: Solve for x
    x = 13,926,596,121/76,028
  6. Step 6: Final answer
    x = 183,177.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.