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Finding the Third Proportional to 58,143 and 92,218.50

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Solution

The third proportional to 58,143 and 92,218.50 is: 146,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,143 : 92,218.50 = 92,218.50 : x
  2. Step 2: Convert to fraction form
    58,143/92,218.50 = 92,218.50/x
  3. Step 3: Cross multiply
    58,143x = 92,218.50 × 92,218.50
  4. Step 4: Simplify right side
    58,143x = 8,504,251,742.25
  5. Step 5: Solve for x
    x = 8,504,251,742.25/58,143
  6. Step 6: Final answer
    x = 146,264.41

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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.