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Finding the Third Proportional to 58,646 and 83,559

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Solution

The third proportional to 58,646 and 83,559 is: 119,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,646 : 83,559 = 83,559 : x
  2. Step 2: Convert to fraction form
    58,646/83,559 = 83,559/x
  3. Step 3: Cross multiply
    58,646x = 83,559 × 83,559
  4. Step 4: Simplify right side
    58,646x = 6,982,106,481
  5. Step 5: Solve for x
    x = 6,982,106,481/58,646
  6. Step 6: Final answer
    x = 119,055.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.