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Finding the Third Proportional to 58,079 and 89,306

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Solution

The third proportional to 58,079 and 89,306 is: 137,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,079 : 89,306 = 89,306 : x
  2. Step 2: Convert to fraction form
    58,079/89,306 = 89,306/x
  3. Step 3: Cross multiply
    58,079x = 89,306 × 89,306
  4. Step 4: Simplify right side
    58,079x = 7,975,561,636
  5. Step 5: Solve for x
    x = 7,975,561,636/58,079
  6. Step 6: Final answer
    x = 137,322.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.