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Finding the Third Proportional to 58,444 and 86,764

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Solution

The third proportional to 58,444 and 86,764 is: 128,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,444 : 86,764 = 86,764 : x
  2. Step 2: Convert to fraction form
    58,444/86,764 = 86,764/x
  3. Step 3: Cross multiply
    58,444x = 86,764 × 86,764
  4. Step 4: Simplify right side
    58,444x = 7,527,991,696
  5. Step 5: Solve for x
    x = 7,527,991,696/58,444
  6. Step 6: Final answer
    x = 128,806.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.