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Finding the Third Proportional to 58,548 and 90,621

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Solution

The third proportional to 58,548 and 90,621 is: 140,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,548 : 90,621 = 90,621 : x
  2. Step 2: Convert to fraction form
    58,548/90,621 = 90,621/x
  3. Step 3: Cross multiply
    58,548x = 90,621 × 90,621
  4. Step 4: Simplify right side
    58,548x = 8,212,165,641
  5. Step 5: Solve for x
    x = 8,212,165,641/58,548
  6. Step 6: Final answer
    x = 140,263.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.