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Finding the Third Proportional to 96,765.50 and 142,302.50

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Solution

The third proportional to 96,765.50 and 142,302.50 is: 209,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,765.50 : 142,302.50 = 142,302.50 : x
  2. Step 2: Convert to fraction form
    96,765.50/142,302.50 = 142,302.50/x
  3. Step 3: Cross multiply
    96,765.50x = 142,302.50 × 142,302.50
  4. Step 4: Simplify right side
    96,765.50x = 20,250,001,506.25
  5. Step 5: Solve for x
    x = 20,250,001,506.25/96,765.50
  6. Step 6: Final answer
    x = 209,268.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.