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Finding the Third Proportional to 64,935 and 97,404.19

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Solution

The third proportional to 64,935 and 97,404.19 is: 146,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935 : 97,404.19 = 97,404.19 : x
  2. Step 2: Convert to fraction form
    64,935/97,404.19 = 97,404.19/x
  3. Step 3: Cross multiply
    64,935x = 97,404.19 × 97,404.19
  4. Step 4: Simplify right side
    64,935x = 9,487,575,742.54
  5. Step 5: Solve for x
    x = 9,487,575,742.54/64,935
  6. Step 6: Final answer
    x = 146,108.81

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