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Finding the Third Proportional to 91,943 and 140,588.50

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Solution

The third proportional to 91,943 and 140,588.50 is: 214,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,943 : 140,588.50 = 140,588.50 : x
  2. Step 2: Convert to fraction form
    91,943/140,588.50 = 140,588.50/x
  3. Step 3: Cross multiply
    91,943x = 140,588.50 × 140,588.50
  4. Step 4: Simplify right side
    91,943x = 19,765,126,332.25
  5. Step 5: Solve for x
    x = 19,765,126,332.25/91,943
  6. Step 6: Final answer
    x = 214,971.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.