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Finding the Third Proportional to 58,194.63 and 92,980

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Solution

The third proportional to 58,194.63 and 92,980 is: 148,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,194.63 : 92,980 = 92,980 : x
  2. Step 2: Convert to fraction form
    58,194.63/92,980 = 92,980/x
  3. Step 3: Cross multiply
    58,194.63x = 92,980 × 92,980
  4. Step 4: Simplify right side
    58,194.63x = 8,645,280,400
  5. Step 5: Solve for x
    x = 8,645,280,400/58,194.63
  6. Step 6: Final answer
    x = 148,558.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.