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Finding the Third Proportional to 58,009.50 and 92,305.50

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Solution

The third proportional to 58,009.50 and 92,305.50 is: 146,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,009.50 : 92,305.50 = 92,305.50 : x
  2. Step 2: Convert to fraction form
    58,009.50/92,305.50 = 92,305.50/x
  3. Step 3: Cross multiply
    58,009.50x = 92,305.50 × 92,305.50
  4. Step 4: Simplify right side
    58,009.50x = 8,520,305,330.25
  5. Step 5: Solve for x
    x = 8,520,305,330.25/58,009.50
  6. Step 6: Final answer
    x = 146,877.76

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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.