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Finding the Third Proportional to 58,296.94 and 92,701.69

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Solution

The third proportional to 58,296.94 and 92,701.69 is: 147,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296.94 : 92,701.69 = 92,701.69 : x
  2. Step 2: Convert to fraction form
    58,296.94/92,701.69 = 92,701.69/x
  3. Step 3: Cross multiply
    58,296.94x = 92,701.69 × 92,701.69
  4. Step 4: Simplify right side
    58,296.94x = 8,593,602,865.35
  5. Step 5: Solve for x
    x = 8,593,602,865.35/58,296.94
  6. Step 6: Final answer
    x = 147,410.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.