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Finding the Third Proportional to 55,707 and 84,033

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Solution

The third proportional to 55,707 and 84,033 is: 126,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707 : 84,033 = 84,033 : x
  2. Step 2: Convert to fraction form
    55,707/84,033 = 84,033/x
  3. Step 3: Cross multiply
    55,707x = 84,033 × 84,033
  4. Step 4: Simplify right side
    55,707x = 7,061,545,089
  5. Step 5: Solve for x
    x = 7,061,545,089/55,707
  6. Step 6: Final answer
    x = 126,762.26

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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.