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Finding the Third Proportional to 64,429.13 and 96,765.38

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Solution

The third proportional to 64,429.13 and 96,765.38 is: 145,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,429.13 : 96,765.38 = 96,765.38 : x
  2. Step 2: Convert to fraction form
    64,429.13/96,765.38 = 96,765.38/x
  3. Step 3: Cross multiply
    64,429.13x = 96,765.38 × 96,765.38
  4. Step 4: Simplify right side
    64,429.13x = 9,363,537,798.89
  5. Step 5: Solve for x
    x = 9,363,537,798.89/64,429.13
  6. Step 6: Final answer
    x = 145,330.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.