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Finding the Third Proportional to 76,044 and 111,090

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Solution

The third proportional to 76,044 and 111,090 is: 162,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,044 : 111,090 = 111,090 : x
  2. Step 2: Convert to fraction form
    76,044/111,090 = 111,090/x
  3. Step 3: Cross multiply
    76,044x = 111,090 × 111,090
  4. Step 4: Simplify right side
    76,044x = 12,340,988,100
  5. Step 5: Solve for x
    x = 12,340,988,100/76,044
  6. Step 6: Final answer
    x = 162,287.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.