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Finding the Third Proportional to 96,088.50 and 140,430

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Solution

The third proportional to 96,088.50 and 140,430 is: 205,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,088.50 : 140,430 = 140,430 : x
  2. Step 2: Convert to fraction form
    96,088.50/140,430 = 140,430/x
  3. Step 3: Cross multiply
    96,088.50x = 140,430 × 140,430
  4. Step 4: Simplify right side
    96,088.50x = 19,720,584,900
  5. Step 5: Solve for x
    x = 19,720,584,900/96,088.50
  6. Step 6: Final answer
    x = 205,233.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.